12876160 has 128 divisors (see below), whose sum is σ = 35251200. Its totient is φ = 4454400.

The previous prime is 12876151. The next prime is 12876161. The reversal of 12876160 is 6167821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12876161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218211 + ... + 218269.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 2^12876160 is an apocalyptic number.

12876160 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 12876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625600).

12876160 is an abundant number, since it is smaller than the sum of its proper divisors (22375040).

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

12876160 is a wasteful number, since it uses less digits than its factorization.

12876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 108 counting only the distinct ones).

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

The square root of 12876160 is about 3588.3366620204. The cubic root of 12876160 is about 234.3844460785.

It can be divided in two parts, 128761 and 60, that added together give a palindrome (128821).

The spelling of 12876160 in words is "twelve million, eight hundred seventy-six thousand, one hundred sixty".