86683968 has 84 divisors (see below), whose sum is σ = 283972000. Its totient is φ = 24765696.

The previous prime is 86683951. The next prime is 86683973. The reversal of 86683968 is 86938668.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×86683968² = 15028220616450048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6718 + ... + 14781.

Almost surely, 2^86683968 is an apocalyptic number.

It is an amenable number.

86683968 is an abundant number, since it is smaller than the sum of its proper divisors (197288032).

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

86683968 is a wasteful number, since it uses less digits than its factorization.

86683968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21524 (or 21511 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 86683968 is about 9310.4225468021. The cubic root of 86683968 is about 442.5675775371.

The spelling of 86683968 in words is "eighty-six million, six hundred eighty-three thousand, nine hundred sixty-eight".