86593664 has 64 divisors (see below), whose sum is σ = 180499200. Its totient is φ = 41333760.

The previous prime is 86593657. The next prime is 86593667. The reversal of 86593664 is 46639568.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (86593667) 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, 551474 + ... + 551630.

It is an arithmetic number, because the mean of its divisors is an integer number (2820300).

Almost surely, 2^86593664 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 86593664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90249600).

86593664 is an abundant number, since it is smaller than the sum of its proper divisors (93905536).

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

86593664 is a wasteful number, since it uses less digits than its factorization.

86593664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 329 counting only the distinct ones).

The product of its digits is 933120, while the sum is 47.

The square root of 86593664 is about 9305.5716643310. The cubic root of 86593664 is about 442.4138408862.

The spelling of 86593664 in words is "eighty-six million, five hundred ninety-three thousand, six hundred sixty-four".