86158920 has 256 divisors, whose sum is σ = 298598400. Its totient is φ = 19768320.

The previous prime is 86158879. The next prime is 86158927. The reversal of 86158920 is 2985168.

It is not an unprimeable number, because it can be changed into a prime (86158927) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1625614 + ... + 1625666.

It is an arithmetic number, because the mean of its divisors is an integer number (1166400).

Almost surely, 2^86158920 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 86158920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149299200).

86158920 is an abundant number, since it is smaller than the sum of its proper divisors (212439480).

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

86158920 is a wasteful number, since it uses less digits than its factorization.

86158920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 86158920 is about 9282.1829329097. The cubic root of 86158920 is about 441.6722179596.

It can be divided in two parts, 86158 and 920, that added together give a palindrome (87078).

The spelling of 86158920 in words is "eighty-six million, one hundred fifty-eight thousand, nine hundred twenty".