86372784 has 160 divisors (see below), whose sum is σ = 276768000. Its totient is φ = 25629696.

The previous prime is 86372779. The next prime is 86372857. The reversal of 86372784 is 48727368.

It is a happy number.

86372784 is a `hidden beast` number, since 8 + 637 + 2 + 7 + 8 + 4 = 666.

Its product of digits (451584) is a multiple of the sum of its prime factors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139227 + ... + 139845.

It is an arithmetic number, because the mean of its divisors is an integer number (1729800).

Almost surely, 2^86372784 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 86372784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138384000).

86372784 is an abundant number, since it is smaller than the sum of its proper divisors (190395216).

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

86372784 is a wasteful number, since it uses less digits than its factorization.

86372784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 86372784 is about 9293.6959278857. The cubic root of 86372784 is about 442.0373561651.

The spelling of 86372784 in words is "eighty-six million, three hundred seventy-two thousand, seven hundred eighty-four".