85317960 has 192 divisors, whose sum is σ = 317278080. Its totient is φ = 17971200.

The previous prime is 85317937. The next prime is 85317979. The reversal of 85317960 is 6971358.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141660 + ... + 142260.

It is an arithmetic number, because the mean of its divisors is an integer number (1652490).

Almost surely, 2^85317960 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 85317960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158639040).

85317960 is an abundant number, since it is smaller than the sum of its proper divisors (231960120).

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

85317960 is a wasteful number, since it uses less digits than its factorization.

85317960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 85317960 is about 9236.7721634779. The cubic root of 85317960 is about 440.2305265834.

The spelling of 85317960 in words is "eighty-five million, three hundred seventeen thousand, nine hundred sixty".