86086020 has 48 divisors (see below), whose sum is σ = 243270720. Its totient is φ = 22743936.

The previous prime is 86086001. The next prime is 86086027. The reversal of 86086020 is 2068068.

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

It is not an unprimeable number, because it can be changed into a prime (86086027) 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, 42 + ... + 13121.

It is an arithmetic number, because the mean of its divisors is an integer number (5068140).

Almost surely, 2^86086020 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 86086020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121635360).

86086020 is an abundant number, since it is smaller than the sum of its proper divisors (157184700).

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

86086020 is a wasteful number, since it uses less digits than its factorization.

86086020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13284 (or 13282 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 86086020 is about 9278.2552239093. The cubic root of 86086020 is about 441.5476149200.

The spelling of 86086020 in words is "eighty-six million, eighty-six thousand, twenty".