86057136 has 120 divisors (see below), whose sum is σ = 265496400. Its totient is φ = 26019840.

The previous prime is 86057131. The next prime is 86057143. The reversal of 86057136 is 63175068.

86057136 is a `hidden beast` number, since 86 + 0 + 571 + 3 + 6 = 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 86057136.

It is not an unprimeable number, because it can be changed into a prime (86057131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191440 + ... + 191888.

It is an arithmetic number, because the mean of its divisors is an integer number (2212470).

Almost surely, 2^86057136 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 86057136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132748200).

86057136 is an abundant number, since it is smaller than the sum of its proper divisors (179439264).

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

86057136 is a wasteful number, since it uses less digits than its factorization.

86057136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 86057136 is about 9276.6985506698. The cubic root of 86057136 is about 441.4982259949.

The spelling of 86057136 in words is "eighty-six million, fifty-seven thousand, one hundred thirty-six".