86158688 has 96 divisors (see below), whose sum is σ = 214824960. Its totient is φ = 33039360.

The previous prime is 86158679. The next prime is 86158691. The reversal of 86158688 is 88685168.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179633 + ... + 180111.

It is an arithmetic number, because the mean of its divisors is an integer number (2237760).

Almost surely, 2^86158688 is an apocalyptic number.

86158688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86158688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107412480).

86158688 is an abundant number, since it is smaller than the sum of its proper divisors (128666272).

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

86158688 is a wasteful number, since it uses less digits than its factorization.

86158688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its digits is 737280, while the sum is 50.

The square root of 86158688 is about 9282.1704358410. The cubic root of 86158688 is about 441.6718215292.

The spelling of 86158688 in words is "eighty-six million, one hundred fifty-eight thousand, six hundred eighty-eight".