879168 has 56 divisors (see below), whose sum is σ = 2458720. Its totient is φ = 276480.

The previous prime is 879167. The next prime is 879169. The reversal of 879168 is 861978.

It is an interprime number because it is at equal distance from previous prime (879167) and next prime (879169).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 879168.

It is not an unprimeable number, because it can be changed into a prime (879167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3528 + ... + 3768.

2⁸⁷⁹¹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229360).

879168 is an abundant number, since it is smaller than the sum of its proper divisors (1579552).

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

879168 is a wasteful number, since it uses less digits than its factorization.

879168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 265 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 879168 is about 937.6395896079. The cubic root of 879168 is about 95.7981871540.

The spelling of 879168 in words is "eight hundred seventy-nine thousand, one hundred sixty-eight".