86088160 has 24 divisors (see below), whose sum is σ = 203383656. Its totient is φ = 34435200.

The previous prime is 86088143. The next prime is 86088173. The reversal of 86088160 is 6188068.

It is a super-2 number, since 2×86088160² = 14822342584371200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 268866 + ... + 269185.

It is an arithmetic number, because the mean of its divisors is an integer number (8474319).

Almost surely, 2^86088160 is an apocalyptic number.

86088160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86088160 is an abundant number, since it is smaller than the sum of its proper divisors (117295496).

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

86088160 is a wasteful number, since it uses less digits than its factorization.

86088160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538066 (or 538058 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 86088160 is about 9278.3705465992. The cubic root of 86088160 is about 441.5512736792.

The spelling of 86088160 in words is "eighty-six million, eighty-eight thousand, one hundred sixty".