22624560 has 180 divisors, whose sum is σ = 88150608. Its totient is φ = 5094144.

The previous prime is 22624543. The next prime is 22624561. The reversal of 22624560 is 6542622.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (22624561) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 337647 + ... + 337713.

Almost surely, 2^22624560 is an apocalyptic number.

22624560 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 22624560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44075304).

22624560 is an abundant number, since it is smaller than the sum of its proper divisors (65526048).

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

22624560 is a wasteful number, since it uses less digits than its factorization.

22624560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 22624560 is about 4756.5281456121. The cubic root of 22624560 is about 282.8308078154.

The spelling of 22624560 in words is "twenty-two million, six hundred twenty-four thousand, five hundred sixty".