872964 has 48 divisors (see below), whose sum is σ = 2318400. Its totient is φ = 283968.

The previous prime is 872959. The next prime is 872999. The reversal of 872964 is 469278.

It is a super-2 number, since 2×872964² = 1524132290592, which contains 22 as substring.

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

It is an unprimeable number.

872964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6304 + ... + 6440.

It is an arithmetic number, because the mean of its divisors is an integer number (48300).

2⁸⁷²⁹⁶⁴ 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 872964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159200).

872964 is an abundant number, since it is smaller than the sum of its proper divisors (1445436).

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

872964 is a wasteful number, since it uses less digits than its factorization.

872964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 872964 is about 934.3254251063. The cubic root of 872964 is about 95.5723162315.

The spelling of 872964 in words is "eight hundred seventy-two thousand, nine hundred sixty-four".