876168 has 48 divisors (see below), whose sum is σ = 2436720. Its totient is φ = 284256.

The previous prime is 876149. The next prime is 876181. The reversal of 876168 is 861678.

876168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 876168.

It is an unprimeable number.

876168 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 11 ways as a sum of consecutive naturals, for example, 2955 + ... + 3237.

It is an arithmetic number, because the mean of its divisors is an integer number (50765).

2⁸⁷⁶¹⁶⁸ 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 876168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218360).

876168 is an abundant number, since it is smaller than the sum of its proper divisors (1560552).

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

876168 is a wasteful number, since it uses less digits than its factorization.

876168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 331 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 876168 is about 936.0384607483. The cubic root of 876168 is about 95.6890983805.

It can be divided in two parts, 8 and 76168, that added together give a square (76176 = 276²).

The spelling of 876168 in words is "eight hundred seventy-six thousand, one hundred sixty-eight".