10560 has 56 divisors (see below), whose sum is σ = 36576. Its totient is φ = 2560.

The previous prime is 10559. The next prime is 10567. The reversal of 10560 is 6501.

It is a super-2 number, since 2×10560² = 223027200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10567) 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, 955 + ... + 965.

2¹⁰⁵⁶⁰ is an apocalyptic number.

10560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18288).

10560 is an abundant number, since it is smaller than the sum of its proper divisors (26016).

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

10560 is a wasteful number, since it uses less digits than its factorization.

10560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 21 counting only the distinct ones).

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

The square root of 10560 is about 102.7618606293. The cubic root of 10560 is about 21.9392262097.

The spelling of 10560 in words is "ten thousand, five hundred sixty".