871164 has 36 divisors (see below), whose sum is σ = 2517424. Its totient is φ = 248832.

The previous prime is 871163. The next prime is 871177. The reversal of 871164 is 461178.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1477 + ... + 1980.

2⁸⁷¹¹⁶⁴ is an apocalyptic number.

871164 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

871164 is an abundant number, since it is smaller than the sum of its proper divisors (1646260).

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

871164 is a wasteful number, since it uses less digits than its factorization.

871164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3474 (or 3469 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 871164 is about 933.3616662366. The cubic root of 871164 is about 95.5065828818.

It can be divided in two parts, 871 and 164, that added together give a triangular number (1035 = T₄₅).

The spelling of 871164 in words is "eight hundred seventy-one thousand, one hundred sixty-four".