86590020 has 72 divisors (see below), whose sum is σ = 266519232. Its totient is φ = 20989760.

The previous prime is 86590019. The next prime is 86590039. The reversal of 86590020 is 2009568.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 86590020.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1297 + ... + 13223.

It is an arithmetic number, because the mean of its divisors is an integer number (3701656).

Almost surely, 2^86590020 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 86590020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133259616).

86590020 is an abundant number, since it is smaller than the sum of its proper divisors (179929212).

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

86590020 is a wasteful number, since it uses less digits than its factorization.

86590020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11961 (or 11948 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 86590020 is about 9305.3758655951. The cubic root of 86590020 is about 442.4076349716.

Adding to 86590020 its reverse (2009568), we get a palindrome (88599588).

The spelling of 86590020 in words is "eighty-six million, five hundred ninety thousand, twenty".