86915080 has 128 divisors (see below), whose sum is σ = 234420480. Its totient is φ = 28385280.

The previous prime is 86915069. The next prime is 86915093. The reversal of 86915080 is 8051968.

It is a super-3 number, since 3×86915080³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769104 + ... + 769216.

It is an arithmetic number, because the mean of its divisors is an integer number (1831410).

Almost surely, 2^86915080 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 86915080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117210240).

86915080 is an abundant number, since it is smaller than the sum of its proper divisors (147505400).

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

86915080 is a wasteful number, since it uses less digits than its factorization.

86915080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 86915080 is about 9322.8257518845. The cubic root of 86915080 is about 442.9605449050.

The spelling of 86915080 in words is "eighty-six million, nine hundred fifteen thousand, eighty".