86008664 has 64 divisors (see below), whose sum is σ = 192326400. Its totient is φ = 35280000.

The previous prime is 86008579. The next prime is 86008669. The reversal of 86008664 is 46680068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86008669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342539 + ... + 342789.

It is an arithmetic number, because the mean of its divisors is an integer number (3005100).

Almost surely, 2^86008664 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 86008664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96163200).

86008664 is an abundant number, since it is smaller than the sum of its proper divisors (106317736).

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

86008664 is a wasteful number, since it uses less digits than its factorization.

86008664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 86008664 is about 9274.0856153046. The cubic root of 86008664 is about 441.4153185910.

The spelling of 86008664 in words is "eighty-six million, eight thousand, six hundred sixty-four".