872464 has 20 divisors (see below), whose sum is σ = 1745920. Its totient is φ = 421920.

The previous prime is 872453. The next prime is 872471. The reversal of 872464 is 464278.

872464 is an admirable number.

It is a super-2 number, since 2×872464² = 1522386862592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an Ulam number.

Its product of digits (10752) is a multiple of the sum of its prime divisors (1792).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 384 + ... + 1375.

It is an arithmetic number, because the mean of its divisors is an integer number (87296).

2⁸⁷²⁴⁶⁴ is an apocalyptic number.

It is an amenable number.

872464 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

872464 is a wasteful number, since it uses less digits than its factorization.

872464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1792 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 872464 is about 934.0578140565. The cubic root of 872464 is about 95.5540660385.

The spelling of 872464 in words is "eight hundred seventy-two thousand, four hundred sixty-four".