12930624 has 112 divisors (see below), whose sum is σ = 43484800. Its totient is φ = 3691008.

The previous prime is 12930581. The next prime is 12930647. The reversal of 12930624 is 42603921.

12930624 is a `hidden beast` number, since 1 + 2 + 9 + 30 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11562 + ... + 12630.

Almost surely, 2^12930624 is an apocalyptic number.

12930624 is a gapful number since it is divisible by the number (14) 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 12930624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21742400).

12930624 is an abundant number, since it is smaller than the sum of its proper divisors (30554176).

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

12930624 is a wasteful number, since it uses less digits than its factorization.

12930624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12930624 is about 3595.9176853760. The cubic root of 12930624 is about 234.7144502098.

The spelling of 12930624 in words is "twelve million, nine hundred thirty thousand, six hundred twenty-four".