22957920 has 144 divisors (see below), whose sum is σ = 79606800. Its totient is φ = 6024192.

The previous prime is 22957877. The next prime is 22957931. The reversal of 22957920 is 2975922.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154006 + ... + 154154.

It is an arithmetic number, because the mean of its divisors is an integer number (552825).

Almost surely, 2^22957920 is an apocalyptic number.

22957920 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 22957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39803400).

22957920 is an abundant number, since it is smaller than the sum of its proper divisors (56648880).

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

22957920 is a wasteful number, since it uses less digits than its factorization.

22957920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 22957920 is about 4791.4423715620. The cubic root of 22957920 is about 284.2131574372.

The spelling of 22957920 in words is "twenty-two million, nine hundred fifty-seven thousand, nine hundred twenty".