86866080 has 192 divisors, whose sum is σ = 317011968. Its totient is φ = 19584000.

The previous prime is 86866067. The next prime is 86866163. The reversal of 86866080 is 8066868.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 345955 + ... + 346205.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2^86866080 is an apocalyptic number.

86866080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86866080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

86866080 is an abundant number, since it is smaller than the sum of its proper divisors (230145888).

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

86866080 is a wasteful number, since it uses less digits than its factorization.

86866080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 86866080 is about 9320.1974228017. The cubic root of 86866080 is about 442.8772868296.

The spelling of 86866080 in words is "eighty-six million, eight hundred sixty-six thousand, eighty".