85368168 has 80 divisors (see below), whose sum is σ = 244284480. Its totient is φ = 27840672.

The previous prime is 85368163. The next prime is 85368193. The reversal of 85368168 is 86186358.

It is not an unprimeable number, because it can be changed into a prime (85368163) 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 19 ways as a sum of consecutive naturals, for example, 29055 + ... + 31857.

It is an arithmetic number, because the mean of its divisors is an integer number (3053556).

Almost surely, 2^85368168 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 85368168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122142240).

85368168 is an abundant number, since it is smaller than the sum of its proper divisors (158916312).

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

85368168 is a wasteful number, since it uses less digits than its factorization.

85368168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2855 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 85368168 is about 9239.4895962926. The cubic root of 85368168 is about 440.3168654189.

The spelling of 85368168 in words is "eighty-five million, three hundred sixty-eight thousand, one hundred sixty-eight".