86320 has 40 divisors (see below), whose sum is σ = 218736. Its totient is φ = 31488.

The previous prime is 86311. The next prime is 86323. The reversal of 86320 is 2368.

86320 is a nontrivial binomial coefficient, being equal to C(416, 2).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×86320² = 14902284800, which contains 22 as substring.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (86323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999 + ... + 1081.

2⁸⁶³²⁰ is an apocalyptic number.

86320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86320 is the 415-th triangular number and also the 208-th hexagonal number.

86320 is the 139-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109368).

86320 is an abundant number, since it is smaller than the sum of its proper divisors (132416).

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

86320 is a wasteful number, since it uses less digits than its factorization.

86320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 86320 is about 293.8026548553. The cubic root of 86320 is about 44.1947292091.

Adding to 86320 its reverse (2368), we get a palindrome (88688).

It can be divided in two parts, 86 and 320, that added together give a triangular number (406 = T₂₈).

The spelling of 86320 in words is "eighty-six thousand, three hundred twenty".