86404160 has 56 divisors (see below), whose sum is σ = 208702656. Its totient is φ = 34065920.

The previous prime is 86404159. The next prime is 86404177. The reversal of 86404160 is 6140468.

It is a hoax number, since the sum of its digits (29) 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 7 ways as a sum of consecutive naturals, for example, 20819 + ... + 24621.

Almost surely, 2^86404160 is an apocalyptic number.

86404160 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 86404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104351328).

86404160 is an abundant number, since it is smaller than the sum of its proper divisors (122298496).

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

86404160 is a wasteful number, since it uses less digits than its factorization.

86404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3891 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 86404160 is about 9295.3838005754. The cubic root of 86404160 is about 442.0908748948.

The spelling of 86404160 in words is "eighty-six million, four hundred four thousand, one hundred sixty".