22764400 has 30 divisors (see below), whose sum is σ = 54692432. Its totient is φ = 9105600.

The previous prime is 22764397. The next prime is 22764409. The reversal of 22764400 is 446722.

22764400 = T₁₁₇ + T₁₁₈ + ... + T₅₁₆.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22764409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28056 + ... + 28855.

Almost surely, 2^22764400 is an apocalyptic number.

22764400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22764400 is an abundant number, since it is smaller than the sum of its proper divisors (31928032).

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

22764400 is a wasteful number, since it uses less digits than its factorization.

22764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56929 (or 56918 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 22764400 is about 4771.2052984545. The cubic root of 22764400 is about 283.4123270709.

The spelling of 22764400 in words is "twenty-two million, seven hundred sixty-four thousand, four hundred".