86175680 has 56 divisors (see below), whose sum is σ = 206398368. Its totient is φ = 34270208.

The previous prime is 86175679. The next prime is 86175689. The reversal of 86175680 is 8657168.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86175689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62357 + ... + 63723.

Almost surely, 2^86175680 is an apocalyptic number.

86175680 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 86175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103199184).

86175680 is an abundant number, since it is smaller than the sum of its proper divisors (120222688).

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

86175680 is a wasteful number, since it uses less digits than its factorization.

86175680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The square root of 86175680 is about 9283.0856938843. The cubic root of 86175680 is about 441.7008547563.

The spelling of 86175680 in words is "eighty-six million, one hundred seventy-five thousand, six hundred eighty".