12576960 has 168 divisors, whose sum is σ = 47311056. Its totient is φ = 3041280.

The previous prime is 12576959. The next prime is 12576961. The reversal of 12576960 is 6967521.

It is an interprime number because it is at equal distance from previous prime (12576959) and next prime (12576961).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12576961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31482 + ... + 31878.

Almost surely, 2^12576960 is an apocalyptic number.

12576960 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 12576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23655528).

12576960 is an abundant number, since it is smaller than the sum of its proper divisors (34734096).

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

12576960 is a wasteful number, since it uses less digits than its factorization.

12576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 12576960 is about 3546.4009925557. The cubic root of 12576960 is about 232.5547564407.

The spelling of 12576960 in words is "twelve million, five hundred seventy-six thousand, nine hundred sixty".