86576360 has 64 divisors (see below), whose sum is σ = 210833280. Its totient is φ = 31806720.

The previous prime is 86576353. The next prime is 86576363. The reversal of 86576360 is 6367568.

It is a super-2 number, since 2×86576360² = 14990932221699200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86576363) 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 15 ways as a sum of consecutive naturals, for example, 171869 + ... + 172371.

It is an arithmetic number, because the mean of its divisors is an integer number (3294270).

Almost surely, 2^86576360 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 86576360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105416640).

86576360 is an abundant number, since it is smaller than the sum of its proper divisors (124256920).

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

86576360 is a wasteful number, since it uses less digits than its factorization.

86576360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 86576360 is about 9304.6418523230. The cubic root of 86576360 is about 442.3843697574.

The spelling of 86576360 in words is "eighty-six million, five hundred seventy-six thousand, three hundred sixty".