12816960 has 168 divisors, whose sum is σ = 44622720. Its totient is φ = 3115008.

The previous prime is 12816959. The next prime is 12816971. The reversal of 12816960 is 6961821.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162201 + ... + 162279.

Almost surely, 2^12816960 is an apocalyptic number.

12816960 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 12816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311360).

12816960 is an abundant number, since it is smaller than the sum of its proper divisors (31805760).

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

12816960 is a wasteful number, since it uses less digits than its factorization.

12816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 12816960 is about 3580.0782114362. The cubic root of 12816960 is about 234.0246887531.

The spelling of 12816960 in words is "twelve million, eight hundred sixteen thousand, nine hundred sixty".