86220 has 36 divisors (see below), whose sum is σ = 262080. Its totient is φ = 22944.

The previous prime is 86209. The next prime is 86239. The reversal of 86220 is 2268.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86193 and 86202.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 60 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2⁸⁶²²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040).

86220 is an abundant number, since it is smaller than the sum of its proper divisors (175860).

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

86220 is a wasteful number, since it uses less digits than its factorization.

86220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 86220 is about 293.6324232778. The cubic root of 86220 is about 44.1776563769.

Adding to 86220 its reverse (2268), we get a palindrome (88488).

The spelling of 86220 in words is "eighty-six thousand, two hundred twenty".