316318080 has 512 divisors, whose sum is σ = 1233792000. Its totient is φ = 68124672.

The previous prime is 316318049. The next prime is 316318117. The reversal of 316318080 is 80813613.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 10907506 + ... + 10907534.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^316318080 is an apocalyptic number.

316318080 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 316318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616896000).

316318080 is an abundant number, since it is smaller than the sum of its proper divisors (917473920).

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

316318080 is a wasteful number, since it uses less digits than its factorization.

316318080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 316318080 is about 17785.3332833546. Note that the first 3 decimals coincide. The cubic root of 316318080 is about 681.3569214106.

The spelling of 316318080 in words is "three hundred sixteen million, three hundred eighteen thousand, eighty".