12624672 has 24 divisors (see below), whose sum is σ = 33140016. Its totient is φ = 4208192.

The previous prime is 12624649. The next prime is 12624713. The reversal of 12624672 is 27642621.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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 3 ways as a sum of consecutive naturals, for example, 65658 + ... + 65849.

It is an arithmetic number, because the mean of its divisors is an integer number (1380834).

Almost surely, 2^12624672 is an apocalyptic number.

12624672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12624672 is an abundant number, since it is smaller than the sum of its proper divisors (20515344).

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

12624672 is a wasteful number, since it uses less digits than its factorization.

12624672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131520 (or 131512 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 12624672 is about 3553.1214445893. The cubic root of 12624672 is about 232.8484588722.

The spelling of 12624672 in words is "twelve million, six hundred twenty-four thousand, six hundred seventy-two".