317920680 has 256 divisors, whose sum is σ = 1321574400. Its totient is φ = 66044160.

The previous prime is 317920679. The next prime is 317920703. The reversal of 317920680 is 86029713.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81249 + ... + 85071.

It is an arithmetic number, because the mean of its divisors is an integer number (5162400).

Almost surely, 2^317920680 is an apocalyptic number.

317920680 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 317920680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660787200).

317920680 is an abundant number, since it is smaller than the sum of its proper divisors (1003653720).

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

317920680 is a wasteful number, since it uses less digits than its factorization.

317920680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 317920680 is about 17830.3303390599. The cubic root of 317920680 is about 682.5056635202.

The spelling of 317920680 in words is "three hundred seventeen million, nine hundred twenty thousand, six hundred eighty".