86360 has 32 divisors (see below), whose sum is σ = 207360. Its totient is φ = 32256.

The previous prime is 86357. The next prime is 86369. The reversal of 86360 is 6368.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86360.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 617 + ... + 743.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁸⁶³⁶⁰ is an apocalyptic number.

86360 is the 170-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

86360 is an abundant number, since it is smaller than the sum of its proper divisors (121000).

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

86360 is a wasteful number, since it uses less digits than its factorization.

86360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 86360 is about 293.8707198753. The cubic root of 86360 is about 44.2015546500.

The spelling of 86360 in words is "eighty-six thousand, three hundred sixty".