85709168 has 20 divisors (see below), whose sum is σ = 170550840. Its totient is φ = 41696064.

The previous prime is 85709159. The next prime is 85709179. The reversal of 85709168 is 86190758.

It is a happy number.

It is a super-2 number, since 2×85709168² = 14692122958504448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 71798 + ... + 72981.

It is an arithmetic number, because the mean of its divisors is an integer number (8527542).

Almost surely, 2^85709168 is an apocalyptic number.

It is an amenable number.

85709168 is a deficient number, since it is larger than the sum of its proper divisors (84841672).

85709168 is a wasteful number, since it uses less digits than its factorization.

85709168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144824 (or 144818 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 44.

The square root of 85709168 is about 9257.9246054394. The cubic root of 85709168 is about 440.9023630223.

The spelling of 85709168 in words is "eighty-five million, seven hundred nine thousand, one hundred sixty-eight".