22800564 has 36 divisors (see below), whose sum is σ = 58100224. Its totient is φ = 7538832.

The previous prime is 22800563. The next prime is 22800571. The reversal of 22800564 is 46500822.

22800564 is a `hidden beast` number, since 22 + 80 + 0 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22800563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2079 + ... + 7065.

Almost surely, 2^22800564 is an apocalyptic number.

It is an amenable number.

22800564 is an abundant number, since it is smaller than the sum of its proper divisors (35299660).

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

22800564 is a wasteful number, since it uses less digits than its factorization.

22800564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5124 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22800564 is about 4774.9936125612. The cubic root of 22800564 is about 283.5623259105.

The spelling of 22800564 in words is "twenty-two million, eight hundred thousand, five hundred sixty-four".