86580864 has 96 divisors (see below), whose sum is σ = 263860740. Its totient is φ = 27156480.

The previous prime is 86580859. The next prime is 86580917. The reversal of 86580864 is 46808568.

86580864 is a `hidden beast` number, since 8 + 6 + 580 + 8 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77580864 + 9000000 = 8808^2 + 3000^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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, 17374 + ... + 21794.

Almost surely, 2^86580864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86580864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131930370).

86580864 is an abundant number, since it is smaller than the sum of its proper divisors (177279876).

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

86580864 is a wasteful number, since it uses less digits than its factorization.

86580864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4458 (or 4443 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 86580864 is about 9304.8838789100. The cubic root of 86580864 is about 442.3920410764.

The spelling of 86580864 in words is "eighty-six million, five hundred eighty thousand, eight hundred sixty-four".