12877160 has 64 divisors (see below), whose sum is σ = 31784400. Its totient is φ = 4673536.

The previous prime is 12877159. The next prime is 12877181. The reversal of 12877160 is 6177821.

12877160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5769604 + 7107556 = 2402^2 + 2666^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19394 + ... + 20046.

Almost surely, 2^12877160 is an apocalyptic number.

12877160 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 12877160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15892200).

12877160 is an abundant number, since it is smaller than the sum of its proper divisors (18907240).

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

12877160 is a wasteful number, since it uses less digits than its factorization.

12877160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 32.

The square root of 12877160 is about 3588.4759996411. The cubic root of 12877160 is about 234.3905135805.

The spelling of 12877160 in words is "twelve million, eight hundred seventy-seven thousand, one hundred sixty".