86080512 has 88 divisors (see below), whose sum is σ = 262278016. Its totient is φ = 24588288.

The previous prime is 86080487. The next prime is 86080517. The reversal of 86080512 is 21508068.

It is a super-3 number, since 3×86080512³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86080512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86080517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19503 + ... + 23505.

It is an arithmetic number, because the mean of its divisors is an integer number (2980432).

Almost surely, 2^86080512 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 86080512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131139008).

86080512 is an abundant number, since it is smaller than the sum of its proper divisors (176197504).

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

86080512 is a wasteful number, since it uses less digits than its factorization.

86080512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 86080512 is about 9277.9583961128. The cubic root of 86080512 is about 441.5381976103.

The spelling of 86080512 in words is "eighty-six million, eighty thousand, five hundred twelve".