22624980 has 96 divisors (see below), whose sum is σ = 73242624. Its totient is φ = 5111424.

The previous prime is 22624951. The next prime is 22624981. The reversal of 22624980 is 8942622.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22624981) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 42999 + ... + 43521.

It is an arithmetic number, because the mean of its divisors is an integer number (762944).

Almost surely, 2^22624980 is an apocalyptic number.

22624980 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 22624980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36621312).

22624980 is an abundant number, since it is smaller than the sum of its proper divisors (50617644).

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

22624980 is a wasteful number, since it uses less digits than its factorization.

22624980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 22624980 is about 4756.5722952563. The cubic root of 22624980 is about 282.8325579519.

The spelling of 22624980 in words is "twenty-two million, six hundred twenty-four thousand, nine hundred eighty".