12796560 has 120 divisors (see below), whose sum is σ = 49133760. Its totient is φ = 2923776.

The previous prime is 12796559. The next prime is 12796573. The reversal of 12796560 is 6569721.

12796560 is a `hidden beast` number, since 1 + 2 + 7 + 96 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 3771 + ... + 6309.

It is an arithmetic number, because the mean of its divisors is an integer number (409448).

Almost surely, 2^12796560 is an apocalyptic number.

12796560 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 12796560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24566880).

12796560 is an abundant number, since it is smaller than the sum of its proper divisors (36337200).

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

12796560 is a wasteful number, since it uses less digits than its factorization.

12796560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2556 counting only the distinct ones).

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

The square root of 12796560 is about 3577.2279770795. The cubic root of 12796560 is about 233.9004617190.

The spelling of 12796560 in words is "twelve million, seven hundred ninety-six thousand, five hundred sixty".