86085180 has 72 divisors (see below), whose sum is σ = 270811632. Its totient is φ = 22954752.

The previous prime is 86085173. The next prime is 86085187. The reversal of 86085180 is 8158068.

It is an interprime number because it is at equal distance from previous prime (86085173) and next prime (86085187).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86085187) 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, 3997 + ... + 13716.

Almost surely, 2^86085180 is an apocalyptic number.

It is an amenable number.

86085180 is an abundant number, since it is smaller than the sum of its proper divisors (184726452).

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

86085180 is a wasteful number, since it uses less digits than its factorization.

86085180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17737 (or 17723 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 86085180 is about 9278.2099566673. The cubic root of 86085180 is about 441.5461787549.

The spelling of 86085180 in words is "eighty-six million, eighty-five thousand, one hundred eighty".