22921920 has 224 divisors, whose sum is σ = 92659200. Its totient is φ = 5225472.

The previous prime is 22921903. The next prime is 22921931. The reversal of 22921920 is 2912922.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60291 + ... + 60669.

Almost surely, 2^22921920 is an apocalyptic number.

22921920 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 22921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46329600).

22921920 is an abundant number, since it is smaller than the sum of its proper divisors (69737280).

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

22921920 is a wasteful number, since it uses less digits than its factorization.

22921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 22921920 is about 4787.6842001118. The cubic root of 22921920 is about 284.0645227993.

The spelling of 22921920 in words is "twenty-two million, nine hundred twenty-one thousand, nine hundred twenty".