876160 has 48 divisors (see below), whose sum is σ = 2152710. Its totient is φ = 340992.

The previous prime is 876149. The next prime is 876181. The reversal of 876160 is 61678.

It can be written as a sum of positive squares in 3 ways, for example, as 876096 + 64 = 936^2 + 8^2 .

It is an unprimeable number.

876160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23662 + ... + 23698.

2⁸⁷⁶¹⁶⁰ is an apocalyptic number.

876160 is a gapful number since it is divisible by the number (80) 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 876160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076355).

876160 is an abundant number, since it is smaller than the sum of its proper divisors (1276550).

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

876160 is an equidigital number, since it uses as much as digits as its factorization.

876160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 876160 is about 936.0341874098. The cubic root of 876160 is about 95.6888071445.

The spelling of 876160 in words is "eight hundred seventy-six thousand, one hundred sixty".