83712864 has 48 divisors (see below), whose sum is σ = 223906032. Its totient is φ = 27376128.

The previous prime is 83712859. The next prime is 83712869. The reversal of 83712864 is 46821738.

It is an interprime number because it is at equal distance from previous prime (83712859) and next prime (83712869).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83712869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3139 + ... + 13314.

It is an arithmetic number, because the mean of its divisors is an integer number (4664709).

Almost surely, 2^83712864 is an apocalyptic number.

It is an amenable number.

83712864 is an abundant number, since it is smaller than the sum of its proper divisors (140193168).

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

83712864 is a wasteful number, since it uses less digits than its factorization.

83712864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16519 (or 16511 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 83712864 is about 9149.4734274711. The cubic root of 83712864 is about 437.4523293910.

The spelling of 83712864 in words is "eighty-three million, seven hundred twelve thousand, eight hundred sixty-four".