85360360 has 128 divisors (see below), whose sum is σ = 214824960. Its totient is φ = 30412800.

The previous prime is 85360351. The next prime is 85360361. The reversal of 85360360 is 6306358.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (85360361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1169284 + ... + 1169356.

It is an arithmetic number, because the mean of its divisors is an integer number (1678320).

Almost surely, 2^85360360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85360360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107412480).

85360360 is an abundant number, since it is smaller than the sum of its proper divisors (129464600).

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

85360360 is a wasteful number, since it uses less digits than its factorization.

85360360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 85360360 is about 9239.0670524680. The cubic root of 85360360 is about 440.3034408252.

The spelling of 85360360 in words is "eighty-five million, three hundred sixty thousand, three hundred sixty".