86656400 has 30 divisors (see below), whose sum is σ = 208192962. Its totient is φ = 34662400.

The previous prime is 86656357. The next prime is 86656447. The reversal of 86656400 is 465668.

It can be written as a sum of positive squares in 3 ways, for example, as 19219456 + 67436944 = 4384^2 + 8212^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107921 + ... + 108720.

Almost surely, 2^86656400 is an apocalyptic number.

86656400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86656400 is an abundant number, since it is smaller than the sum of its proper divisors (121536562).

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

86656400 is a wasteful number, since it uses less digits than its factorization.

86656400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216659 (or 216648 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 86656400 is about 9308.9419377285. The cubic root of 86656400 is about 442.5206561479.

The spelling of 86656400 in words is "eighty-six million, six hundred fifty-six thousand, four hundred".