86157324 has 144 divisors (see below), whose sum is σ = 259190400. Its totient is φ = 24662880.

The previous prime is 86157311. The next prime is 86157329. The reversal of 86157324 is 42375168.

86157324 is a `hidden beast` number, since 8 + 61 + 573 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (86157329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248119 + ... + 248465.

Almost surely, 2^86157324 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 86157324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129595200).

86157324 is an abundant number, since it is smaller than the sum of its proper divisors (173033076).

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

86157324 is a wasteful number, since it uses less digits than its factorization.

86157324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 382 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 86157324 is about 9282.0969613552. The cubic root of 86157324 is about 441.6694907774.

It can be divided in two parts, 861 and 57324, that added together give a palindrome (58185).

The spelling of 86157324 in words is "eighty-six million, one hundred fifty-seven thousand, three hundred twenty-four".