318361680 has 480 divisors, whose sum is σ = 1358413056. Its totient is φ = 65028096.

The previous prime is 318361613. The next prime is 318361697. The reversal of 318361680 is 86163813.

318361680 is a `hidden beast` number, since 31 + 8 + 3 + 616 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2817304 + ... + 2817416.

Almost surely, 2^318361680 is an apocalyptic number.

318361680 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 318361680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679206528).

318361680 is an abundant number, since it is smaller than the sum of its proper divisors (1040051376).

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

318361680 is a wasteful number, since it uses less digits than its factorization.

318361680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 186 counting only the distinct ones).

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

The square root of 318361680 is about 17842.6926219111. The cubic root of 318361680 is about 682.8210943330.

The spelling of 318361680 in words is "three hundred eighteen million, three hundred sixty-one thousand, six hundred eighty".