318631680 has 216 divisors, whose sum is σ = 1167998832. Its totient is φ = 79921152.

The previous prime is 318631667. The next prime is 318631717. The reversal of 318631680 is 86136813.

318631680 is a `hidden beast` number, since 3 + 18 + 631 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×318631680² = 203052294999244800, which contains 22 as substring.

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, 195027 + ... + 196653.

It is an arithmetic number, because the mean of its divisors is an integer number (5407402).

Almost surely, 2^318631680 is an apocalyptic number.

318631680 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 318631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583999416).

318631680 is an abundant number, since it is smaller than the sum of its proper divisors (849367152).

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

318631680 is a wasteful number, since it uses less digits than its factorization.

318631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 318631680 is about 17850.2571410050. The cubic root of 318631680 is about 683.0140714960.

The spelling of 318631680 in words is "three hundred eighteen million, six hundred thirty-one thousand, six hundred eighty".