12456960 has 88 divisors (see below), whose sum is σ = 39891936. Its totient is φ = 3317760.

The previous prime is 12456943. The next prime is 12456991. The reversal of 12456960 is 6965421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14955 + ... + 15765.

Almost surely, 2^12456960 is an apocalyptic number.

12456960 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 12456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19945968).

12456960 is an abundant number, since it is smaller than the sum of its proper divisors (27434976).

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

12456960 is an equidigital number, since it uses as much as digits as its factorization.

12456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 12456960 is about 3529.4418822244. The cubic root of 12456960 is about 231.8127700669.

The spelling of 12456960 in words is "twelve million, four hundred fifty-six thousand, nine hundred sixty".