86805360 has 60 divisors (see below), whose sum is σ = 291523752. Its totient is φ = 23147904.

The previous prime is 86805353. The next prime is 86805371. The reversal of 86805360 is 6350868.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59562 + ... + 61001.

Almost surely, 2^86805360 is an apocalyptic number.

86805360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86805360 is an abundant number, since it is smaller than the sum of its proper divisors (204718392).

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

86805360 is a wasteful number, since it uses less digits than its factorization.

86805360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120582 (or 120573 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 86805360 is about 9316.9394116308. The cubic root of 86805360 is about 442.7740713318.

The spelling of 86805360 in words is "eighty-six million, eight hundred five thousand, three hundred sixty".