86364 has 18 divisors (see below), whose sum is σ = 218400. Its totient is φ = 28776.

The previous prime is 86357. The next prime is 86369. The reversal of 86364 is 46368.

It is a tau number, because it is divible by the number of its divisors (18).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86369) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1164 + ... + 1235.

2⁸⁶³⁶⁴ is an apocalyptic number.

It is an amenable number.

86364 is an abundant number, since it is smaller than the sum of its proper divisors (132036).

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

86364 is a wasteful number, since it uses less digits than its factorization.

86364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2404 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 86364 is about 293.8775255102. The cubic root of 86364 is about 44.2022370782.

The spelling of 86364 in words is "eighty-six thousand, three hundred sixty-four".