872640 has 112 divisors (see below), whose sum is σ = 3108960. Its totient is φ = 230400.

The previous prime is 872623. The next prime is 872647. The reversal of 872640 is 46278.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (872647) by changing a digit.

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, 8590 + ... + 8690.

2⁸⁷²⁶⁴⁰ is an apocalyptic number.

872640 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 872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554480).

872640 is an abundant number, since it is smaller than the sum of its proper divisors (2236320).

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

872640 is a wasteful number, since it uses less digits than its factorization.

872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 872640 is about 934.1520218894. The cubic root of 872640 is about 95.5604909015.

The spelling of 872640 in words is "eight hundred seventy-two thousand, six hundred forty".