86080032 has 72 divisors (see below), whose sum is σ = 257690160. Its totient is φ = 27181440.

The previous prime is 86080021. The next prime is 86080081. The reversal of 86080032 is 23008068.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 86079978 and 86080005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2394 + ... + 13337.

It is an arithmetic number, because the mean of its divisors is an integer number (3579030).

Almost surely, 2^86080032 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 86080032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128845080).

86080032 is an abundant number, since it is smaller than the sum of its proper divisors (171610128).

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

86080032 is a wasteful number, since it uses less digits than its factorization.

86080032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15766 (or 15755 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 86080032 is about 9277.9325283169. The cubic root of 86080032 is about 441.5373769107.

The spelling of 86080032 in words is "eighty-six million, eighty thousand, thirty-two".