85095168 has 72 divisors (see below), whose sum is σ = 228110400. Its totient is φ = 28161024.

The previous prime is 85095137. The next prime is 85095187. The reversal of 85095168 is 86159058.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137163 + ... + 137781.

It is an arithmetic number, because the mean of its divisors is an integer number (3168200).

Almost surely, 2^85095168 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 85095168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114055200).

85095168 is an abundant number, since it is smaller than the sum of its proper divisors (143015232).

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

85095168 is a wasteful number, since it uses less digits than its factorization.

85095168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The square root of 85095168 is about 9224.7042229006. The cubic root of 85095168 is about 439.8469991449.

The spelling of 85095168 in words is "eighty-five million, ninety-five thousand, one hundred sixty-eight".