85317568 has 56 divisors (see below), whose sum is σ = 194880992. Its totient is φ = 36301824.

The previous prime is 85317559. The next prime is 85317569. The reversal of 85317568 is 86571358.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85317569) 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 7 ways as a sum of consecutive naturals, for example, 69730 + ... + 70942.

Almost surely, 2^85317568 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 85317568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97440496).

85317568 is an abundant number, since it is smaller than the sum of its proper divisors (109563424).

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

85317568 is a wasteful number, since it uses less digits than its factorization.

85317568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1379 counting only the distinct ones).

The product of its digits is 201600, while the sum is 43.

The square root of 85317568 is about 9236.7509439196. The cubic root of 85317568 is about 440.2298523579.

The spelling of 85317568 in words is "eighty-five million, three hundred seventeen thousand, five hundred sixty-eight".