86082220 has 72 divisors (see below), whose sum is σ = 222699456. Its totient is φ = 27772416.

The previous prime is 86082211. The next prime is 86082221. The reversal of 86082220 is 2228068.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (86082221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14077 + ... + 19243.

It is an arithmetic number, because the mean of its divisors is an integer number (3093048).

Almost surely, 2^86082220 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 86082220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111349728).

86082220 is an abundant number, since it is smaller than the sum of its proper divisors (136617236).

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

86082220 is a wasteful number, since it uses less digits than its factorization.

86082220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5207 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 86082220 is about 9278.0504417685. The cubic root of 86082220 is about 441.5411179083.

The spelling of 86082220 in words is "eighty-six million, eighty-two thousand, two hundred twenty".