316975680 has 280 divisors, whose sum is σ = 1289352768. Its totient is φ = 72410112.

The previous prime is 316975679. The next prime is 316975699. The reversal of 316975680 is 86579613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-2 number, since 2×316975680² = 200947163422924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180567 + ... + 182313.

Almost surely, 2^316975680 is an apocalyptic number.

316975680 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 316975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644676384).

316975680 is an abundant number, since it is smaller than the sum of its proper divisors (972377088).

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

316975680 is a wasteful number, since it uses less digits than its factorization.

316975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 316975680 is about 17803.8108280222. The cubic root of 316975680 is about 681.8287567814.

The spelling of 316975680 in words is "three hundred sixteen million, nine hundred seventy-five thousand, six hundred eighty".