12631680 has 256 divisors, whose sum is σ = 48470400. Its totient is φ = 3096576.

The previous prime is 12631679. The next prime is 12631693. The reversal of 12631680 is 8613621.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293739 + ... + 293781.

Almost surely, 2^12631680 is an apocalyptic number.

12631680 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 12631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24235200).

12631680 is an abundant number, since it is smaller than the sum of its proper divisors (35838720).

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

12631680 is a wasteful number, since it uses less digits than its factorization.

12631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12631680 is about 3554.1074828992. The cubic root of 12631680 is about 232.8915359030.

The spelling of 12631680 in words is "twelve million, six hundred thirty-one thousand, six hundred eighty".