86689008 has 160 divisors (see below), whose sum is σ = 288076800. Its totient is φ = 24447744.

The previous prime is 86688983. The next prime is 86689013. The reversal of 86689008 is 80098668.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329485 + ... + 329747.

It is an arithmetic number, because the mean of its divisors is an integer number (1800480).

Almost surely, 2^86689008 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 86689008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144038400).

86689008 is an abundant number, since it is smaller than the sum of its proper divisors (201387792).

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

86689008 is a wasteful number, since it uses less digits than its factorization.

86689008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 86689008 is about 9310.6932072752. The cubic root of 86689008 is about 442.5761546608.

The spelling of 86689008 in words is "eighty-six million, six hundred eighty-nine thousand, eight".