872960 has 80 divisors (see below), whose sum is σ = 2356992. Its totient is φ = 307200.

The previous prime is 872959. The next prime is 872999. The reversal of 872960 is 69278.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872960.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28145 + ... + 28175.

2⁸⁷²⁹⁶⁰ is an apocalyptic number.

872960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178496).

872960 is an abundant number, since it is smaller than the sum of its proper divisors (1484032).

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

872960 is a wasteful number, since it uses less digits than its factorization.

872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 872960 is about 934.3232845220. The cubic root of 872960 is about 95.5721702576.

The spelling of 872960 in words is "eight hundred seventy-two thousand, nine hundred sixty".