12624920 has 64 divisors (see below), whose sum is σ = 35424000. Its totient is φ = 3934080.

The previous prime is 12624883. The next prime is 12624979. The reversal of 12624920 is 2942621.

It is a self number, because there is not a number n which added to its sum of digits gives 12624920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1031 + ... + 5129.

It is an arithmetic number, because the mean of its divisors is an integer number (553500).

Almost surely, 2^12624920 is an apocalyptic number.

12624920 is a gapful number since it is divisible by the number (10) 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 12624920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17712000).

12624920 is an abundant number, since it is smaller than the sum of its proper divisors (22799080).

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

12624920 is a wasteful number, since it uses less digits than its factorization.

12624920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 12624920 is about 3553.1563433094. The cubic root of 12624920 is about 232.8499835598.

The spelling of 12624920 in words is "twelve million, six hundred twenty-four thousand, nine hundred twenty".