872864 has 12 divisors (see below), whose sum is σ = 1718514. Its totient is φ = 436416.

The previous prime is 872863. The next prime is 872923. The reversal of 872864 is 468278.

It can be written as a sum of positive squares in only one way, i.e., 824464 + 48400 = 908^2 + 220^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (872863) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13607 + ... + 13670.

2⁸⁷²⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

872864 is a deficient number, since it is larger than the sum of its proper divisors (845650).

872864 is a wasteful number, since it uses less digits than its factorization.

872864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27287 (or 27279 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 872864 is about 934.2719090286. The cubic root of 872864 is about 95.5686667505.

The spelling of 872864 in words is "eight hundred seventy-two thousand, eight hundred sixty-four".