86386820 has 48 divisors (see below), whose sum is σ = 199085040. Its totient is φ = 31289856.

The previous prime is 86386819. The next prime is 86386829. The reversal of 86386820 is 2868368.

It can be written as a sum of positive squares in 8 ways, for example, as 5098564 + 81288256 = 2258^2 + 9016^2 .

It is not an unprimeable number, because it can be changed into a prime (86386829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10646 + ... + 16914.

It is an arithmetic number, because the mean of its divisors is an integer number (4147605).

Almost surely, 2^86386820 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 86386820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99542520).

86386820 is an abundant number, since it is smaller than the sum of its proper divisors (112698220).

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

86386820 is a wasteful number, since it uses less digits than its factorization.

86386820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 86386820 is about 9294.4510327399. The cubic root of 86386820 is about 442.0612992793.

The spelling of 86386820 in words is "eighty-six million, three hundred eighty-six thousand, eight hundred twenty".