872940 has 24 divisors (see below), whose sum is σ = 2444400. Its totient is φ = 232768.

The previous prime is 872923. The next prime is 872947. The reversal of 872940 is 49278.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 872898 and 872907.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872940.

It is not an unprimeable number, because it can be changed into a prime (872947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7215 + ... + 7334.

It is an arithmetic number, because the mean of its divisors is an integer number (101850).

2⁸⁷²⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

872940 is an abundant number, since it is smaller than the sum of its proper divisors (1571460).

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

872940 is a wasteful number, since it uses less digits than its factorization.

872940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14561 (or 14559 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 872940 is about 934.3125815272. The cubic root of 872940 is about 95.5714403815.

The spelling of 872940 in words is "eight hundred seventy-two thousand, nine hundred forty".