86668032 has 72 divisors (see below), whose sum is σ = 251657280. Its totient is φ = 26260480.

The previous prime is 86668031. The next prime is 86668061. The reversal of 86668032 is 23086668.

It is a super-2 number, since 2×86668032² = 15022695541506048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86668031) 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, 3319 + ... + 13577.

It is an arithmetic number, because the mean of its divisors is an integer number (3495240).

Almost surely, 2^86668032 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 86668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125828640).

86668032 is an abundant number, since it is smaller than the sum of its proper divisors (164989248).

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

86668032 is a wasteful number, since it uses less digits than its factorization.

86668032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10289 (or 10275 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 86668032 is about 9309.5666923869. The cubic root of 86668032 is about 442.5404553009.

The spelling of 86668032 in words is "eighty-six million, six hundred sixty-eight thousand, thirty-two".