879164 has 48 divisors (see below), whose sum is σ = 1905120. Its totient is φ = 349440.

The previous prime is 879143. The next prime is 879167. The reversal of 879164 is 461978.

879164 = T₁₅₅ + T₁₅₆ + ... + T₂₀₇.

Its product of digits (12096) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16562 + ... + 16614.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2⁸⁷⁹¹⁶⁴ is an apocalyptic number.

It is an amenable number.

879164 is an abundant number, since it is smaller than the sum of its proper divisors (1025956).

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

879164 is a wasteful number, since it uses less digits than its factorization.

879164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 108 counting only the distinct ones).

The product of its digits is 12096, while the sum is 35.

The square root of 879164 is about 937.6374565897. The cubic root of 879164 is about 95.7980418676.

The spelling of 879164 in words is "eight hundred seventy-nine thousand, one hundred sixty-four".