317064960 has 216 divisors, whose sum is σ = 1162259280. Its totient is φ = 79527936.

The previous prime is 317064947. The next prime is 317064983. The reversal of 317064960 is 69460713.

317064960 is a `hidden beast` number, since 3 + 1 + 7 + 0 + 649 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195031 + ... + 196649.

It is an arithmetic number, because the mean of its divisors is an integer number (5380830).

Almost surely, 2^317064960 is an apocalyptic number.

317064960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581129640).

317064960 is an abundant number, since it is smaller than the sum of its proper divisors (845194320).

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

317064960 is a wasteful number, since it uses less digits than its factorization.

317064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 317064960 is about 17806.3179798632. The cubic root of 317064960 is about 681.8927658531.

The spelling of 317064960 in words is "three hundred seventeen million, sixty-four thousand, nine hundred sixty".