86280 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 22976.

The previous prime is 86269. The next prime is 86287. The reversal of 86280 is 8268.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 86280.

It is not an unprimeable number, because it can be changed into a prime (86287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2⁸⁶²⁸⁰ is an apocalyptic number.

86280 is the 240-th pentagonal number.

It is an amenable number.

86280 is an abundant number, since it is smaller than the sum of its proper divisors (172920).

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 (129600).

86280 is a wasteful number, since it uses less digits than its factorization.

86280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 86280 is about 293.7345740630. The cubic root of 86280 is about 44.1879016593.

The spelling of 86280 in words is "eighty-six thousand, two hundred eighty".