22560 has 48 divisors (see below), whose sum is σ = 72576. Its totient is φ = 5888.

The previous prime is 22549. The next prime is 22567. The reversal of 22560 is 6522.

22560 = 46² + 47² + ... + 54².

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (22567) by changing a digit.

22560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457 + ... + 503.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2²²⁵⁶⁰ is an apocalyptic number.

22560 is a gapful number since it is divisible by the number (20) 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 22560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288).

22560 is an abundant number, since it is smaller than the sum of its proper divisors (50016).

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

22560 is a wasteful number, since it uses less digits than its factorization.

22560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 22560 is about 150.1998668441. The cubic root of 22560 is about 28.2561528875.

The spelling of 22560 in words is "twenty-two thousand, five hundred sixty".