86112576 has 84 divisors (see below), whose sum is σ = 269284704. Its totient is φ = 26092800.

The previous prime is 86112527. The next prime is 86112577. The reversal of 86112576 is 67521168.

86112576 is a `hidden beast` number, since 86 + 1 + 1 + 2 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 86112576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86112577) 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 11 ways as a sum of consecutive naturals, for example, 460 + ... + 13131.

Almost surely, 2^86112576 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 86112576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134642352).

86112576 is an abundant number, since it is smaller than the sum of its proper divisors (183172128).

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

86112576 is a wasteful number, since it uses less digits than its factorization.

86112576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13620 (or 13607 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 86112576 is about 9279.6862015911. The cubic root of 86112576 is about 441.5930134370.

The spelling of 86112576 in words is "eighty-six million, one hundred twelve thousand, five hundred seventy-six".