10624560 has 40 divisors (see below), whose sum is σ = 32936880. Its totient is φ = 2833152.

The previous prime is 10624547. The next prime is 10624571. The reversal of 10624560 is 6542601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10624560² = 225762550387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10624560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21895 + ... + 22374.

It is an arithmetic number, because the mean of its divisors is an integer number (823422).

Almost surely, 2^10624560 is an apocalyptic number.

10624560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10624560 is an abundant number, since it is smaller than the sum of its proper divisors (22312320).

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

10624560 is a wasteful number, since it uses less digits than its factorization.

10624560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44285 (or 44279 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 10624560 is about 3259.5337089835. The cubic root of 10624560 is about 219.8384488914.

The spelling of 10624560 in words is "ten million, six hundred twenty-four thousand, five hundred sixty".