22965120 has 160 divisors (see below), whose sum is σ = 82197720. Its totient is φ = 6110208.

The previous prime is 22965073. The next prime is 22965127. The reversal of 22965120 is 2156922.

22965120 is a `hidden beast` number, since 2 + 2 + 9 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×22965120² = 1054793473228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22965127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51619 + ... + 52061.

Almost surely, 2^22965120 is an apocalyptic number.

22965120 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 22965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41098860).

22965120 is an abundant number, since it is smaller than the sum of its proper divisors (59232600).

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

22965120 is an equidigital number, since it uses as much as digits as its factorization.

22965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 22965120 is about 4792.1936521806. The cubic root of 22965120 is about 284.2428657158.

The spelling of 22965120 in words is "twenty-two million, nine hundred sixty-five thousand, one hundred twenty".