316138680 has 512 divisors, whose sum is σ = 1306368000. Its totient is φ = 66908160.

The previous prime is 316138673. The next prime is 316138699. The reversal of 316138680 is 86831613.

316138680 is a `hidden beast` number, since 31 + 613 + 8 + 6 + 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3552076 + ... + 3552164.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2^316138680 is an apocalyptic number.

316138680 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 316138680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653184000).

316138680 is an abundant number, since it is smaller than the sum of its proper divisors (990229320).

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

316138680 is a wasteful number, since it uses less digits than its factorization.

316138680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

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

The square root of 316138680 is about 17780.2890865138. The cubic root of 316138680 is about 681.2280863809.

The spelling of 316138680 in words is "three hundred sixteen million, one hundred thirty-eight thousand, six hundred eighty".