86505360 has 40 divisors (see below), whose sum is σ = 268167360. Its totient is φ = 23068032.

The previous prime is 86505337. The next prime is 86505361. The reversal of 86505360 is 6350568.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (86505361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179980 + ... + 180459.

It is an arithmetic number, because the mean of its divisors is an integer number (6704184).

Almost surely, 2^86505360 is an apocalyptic number.

86505360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86505360 is an abundant number, since it is smaller than the sum of its proper divisors (181662000).

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

86505360 is a wasteful number, since it uses less digits than its factorization.

86505360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360455 (or 360449 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 86505360 is about 9300.8257697906. The cubic root of 86505360 is about 442.2634057118.

The spelling of 86505360 in words is "eighty-six million, five hundred five thousand, three hundred sixty".