1560 has 32 divisors (see below), whose sum is σ = 5040. Its totient is φ = 384.

The previous prime is 1559. The next prime is 1567. The reversal of 1560 is 651.

Added to its reverse (651) it gives a triangular number (2211 = T_{66}).

1560 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (12).

1560 is an undulating number in base 8.

It is a plaindrome in base 11.

It is a nialpdrome in base 5, base 12 and base 13.

It is a zygodrome in base 2 and base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114 + ... + 126.

2^{1560} is an apocalyptic number.

1560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 39×40.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520).

1560 is an abundant number, since it is smaller than the sum of its proper divisors (3480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1560 is a wasteful number, since it uses less digits than its factorization.

1560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1560 is about 39.4968353163. The cubic root of 1560 is about 11.5977799953.

Adding to 1560 its reverse (651), we get a triangular number (2211 = T_{66}).

Subtracting from 1560 its reverse (651), we obtain a palindrome (909).

It can be divided in two parts, 15 and 60, that multiplied together give a square (900 = 30^{2}).

The spelling of 1560 in words is "one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560

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