317371680 has 144 divisors (see below), whose sum is σ = 1087664760. Its totient is φ = 84271104.

The previous prime is 317371673. The next prime is 317371721. The reversal of 317371680 is 86173713.

It can be written as a sum of positive squares in 4 ways, for example, as 240002064 + 77369616 = 15492^2 + 8796^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 623266 + ... + 623774.

Almost surely, 2^317371680 is an apocalyptic number.

317371680 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 317371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543832380).

317371680 is an abundant number, since it is smaller than the sum of its proper divisors (770293080).

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

317371680 is a wasteful number, since it uses less digits than its factorization.

317371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 317371680 is about 17814.9285712854. The cubic root of 317371680 is about 682.1125764804.

The spelling of 317371680 in words is "three hundred seventeen million, three hundred seventy-one thousand, six hundred eighty".