86317632 has 84 divisors (see below), whose sum is σ = 248766076. Its totient is φ = 28615680.

The previous prime is 86317613. The next prime is 86317661. The reversal of 86317632 is 23671368.

It is a happy number.

86317632 is a `hidden beast` number, since 8 + 6 + 3 + 17 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23970816 + 62346816 = 4896^2 + 7896^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159282 + ... + 159822.

Almost surely, 2^86317632 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 86317632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124383038).

86317632 is an abundant number, since it is smaller than the sum of its proper divisors (162448444).

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

86317632 is a wasteful number, since it uses less digits than its factorization.

86317632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 823 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 86317632 is about 9290.7282814643. The cubic root of 86317632 is about 441.9432507692.

The spelling of 86317632 in words is "eighty-six million, three hundred seventeen thousand, six hundred thirty-two".