86576 has 20 divisors (see below), whose sum is σ = 191952. Its totient is φ = 37056.

The previous prime is 86573. The next prime is 86579. The reversal of 86576 is 67568.

It is an interprime number because it is at equal distance from previous prime (86573) and next prime (86579).

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (86573) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 275 + ... + 498.

2⁸⁶⁵⁷⁶ is an apocalyptic number.

It is an amenable number.

86576 is an abundant number, since it is smaller than the sum of its proper divisors (105376).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95976).

86576 is a wasteful number, since it uses less digits than its factorization.

86576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 782 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 86576 is about 294.2379989056. The cubic root of 86576 is about 44.2383756585.

The spelling of 86576 in words is "eighty-six thousand, five hundred seventy-six".