86085360 has 60 divisors (see below), whose sum is σ = 289105752. Its totient is φ = 22955904.

The previous prime is 86085317. The next prime is 86085361. The reversal of 86085360 is 6358068.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86085361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59062 + ... + 60501.

Almost surely, 2^86085360 is an apocalyptic number.

86085360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86085360 is an abundant number, since it is smaller than the sum of its proper divisors (203020392).

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

86085360 is a wasteful number, since it uses less digits than its factorization.

86085360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119582 (or 119573 counting only the distinct ones).

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

The square root of 86085360 is about 9278.2196568092. The cubic root of 86085360 is about 441.5464865054.

The spelling of 86085360 in words is "eighty-six million, eighty-five thousand, three hundred sixty".