12760960 has 64 divisors (see below), whose sum is σ = 30942720. Its totient is φ = 5031936.

The previous prime is 12760939. The next prime is 12760973. The reversal of 12760960 is 6906721.

12760960 = T₃₈₁ + T₃₈₂ + ... + T₅₀₈.

It is a tau number, because it is divible by the number of its divisors (64).

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, 81202 + ... + 81358.

It is an arithmetic number, because the mean of its divisors is an integer number (483480).

Almost surely, 2^12760960 is an apocalyptic number.

12760960 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 12760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15471360).

12760960 is an abundant number, since it is smaller than the sum of its proper divisors (18181760).

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

12760960 is a wasteful number, since it uses less digits than its factorization.

12760960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 12760960 is about 3572.2485915737. The cubic root of 12760960 is about 233.6833567534.

The spelling of 12760960 in words is "twelve million, seven hundred sixty thousand, nine hundred sixty".