12624768 has 128 divisors (see below), whose sum is σ = 40269600. Its totient is φ = 3870720.

The previous prime is 12624751. The next prime is 12624791. The reversal of 12624768 is 86742621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 44788 + ... + 45068.

Almost surely, 2^12624768 is an apocalyptic number.

12624768 is a gapful number since it is divisible by the number (18) 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 12624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20134800).

12624768 is an abundant number, since it is smaller than the sum of its proper divisors (27644832).

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

12624768 is a wasteful number, since it uses less digits than its factorization.

12624768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 12624768 is about 3553.1349538119. The cubic root of 12624768 is about 232.8490490762.

The spelling of 12624768 in words is "twelve million, six hundred twenty-four thousand, seven hundred sixty-eight".