875160 has 192 divisors, whose sum is σ = 3538080. Its totient is φ = 184320.

The previous prime is 875141. The next prime is 875183. The reversal of 875160 is 61578.

875160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

875160 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 47 ways as a sum of consecutive naturals, for example, 51472 + ... + 51488.

2⁸⁷⁵¹⁶⁰ is an apocalyptic number.

It is a pronic number, being equal to 935×936.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769040).

875160 is an abundant number, since it is smaller than the sum of its proper divisors (2662920).

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

875160 is a wasteful number, since it uses less digits than its factorization.

875160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 875160 is about 935.4998663816. The cubic root of 875160 is about 95.6523886688.

It can be divided in two parts, 875 and 160, that added together give a triangular number (1035 = T₄₅).

The spelling of 875160 in words is "eight hundred seventy-five thousand, one hundred sixty".