22920624 has 80 divisors (see below), whose sum is σ = 69683040. Its totient is φ = 7188480.

The previous prime is 22920619. The next prime is 22920647. The reversal of 22920624 is 42602922.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5784 + ... + 8904.

It is an arithmetic number, because the mean of its divisors is an integer number (871038).

Almost surely, 2^22920624 is an apocalyptic number.

22920624 is a gapful number since it is divisible by the number (24) 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 22920624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34841520).

22920624 is an abundant number, since it is smaller than the sum of its proper divisors (46762416).

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

22920624 is a wasteful number, since it uses less digits than its factorization.

22920624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 22920624 is about 4787.5488509257. The cubic root of 22920624 is about 284.0591690511.

The spelling of 22920624 in words is "twenty-two million, nine hundred twenty thousand, six hundred twenty-four".