12768160 has 24 divisors (see below), whose sum is σ = 30165156. Its totient is φ = 5107200.

The previous prime is 12768157. The next prime is 12768169. The reversal of 12768160 is 6186721.

It can be written as a sum of positive squares in 2 ways, for example, as 12082576 + 685584 = 3476^2 + 828^2 .

It is not an unprimeable number, because it can be changed into a prime (12768169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39741 + ... + 40060.

Almost surely, 2^12768160 is an apocalyptic number.

12768160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12768160 is an abundant number, since it is smaller than the sum of its proper divisors (17396996).

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

12768160 is an equidigital number, since it uses as much as digits as its factorization.

12768160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79816 (or 79808 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 12768160 is about 3573.2562180734. The cubic root of 12768160 is about 233.7272981661.

The spelling of 12768160 in words is "twelve million, seven hundred sixty-eight thousand, one hundred sixty".