10624580 has 12 divisors (see below), whose sum is σ = 22311660. Its totient is φ = 4249824.

The previous prime is 10624577. The next prime is 10624589. The reversal of 10624580 is 8542601.

It can be written as a sum of positive squares in 2 ways, for example, as 4700224 + 5924356 = 2168^2 + 2434^2 .

It is a super-2 number, since 2×10624580² = 225763400352800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10624589) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 265595 + ... + 265634.

It is an arithmetic number, because the mean of its divisors is an integer number (1859305).

Almost surely, 2^10624580 is an apocalyptic number.

10624580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10624580 is an abundant number, since it is smaller than the sum of its proper divisors (11687080).

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

10624580 is a wasteful number, since it uses less digits than its factorization.

10624580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531238 (or 531236 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 10624580 is about 3259.5367769056. The cubic root of 10624580 is about 219.8385868349.

The spelling of 10624580 in words is "ten million, six hundred twenty-four thousand, five hundred eighty".