872000940 has 48 divisors (see below), whose sum is σ = 2443069440. Its totient is φ = 232393920.

The previous prime is 872000939. The next prime is 872000951. The reversal of 872000940 is 49000278.

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 = 872000898 and 872000907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131095 + ... + 137585.

It is an arithmetic number, because the mean of its divisors is an integer number (50897280).

Almost surely, 2^872000940 is an apocalyptic number.

It is an amenable number.

872000940 is an abundant number, since it is smaller than the sum of its proper divisors (1571068500).

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

872000940 is a wasteful number, since it uses less digits than its factorization.

872000940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8742 (or 8740 counting only the distinct ones).

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

The square root of 872000940 is about 29529.6620366709. The cubic root of 872000940 is about 955.3715794978.

The spelling of 872000940 in words is "eight hundred seventy-two million, nine hundred forty", and thus it is an aban number.