316356840 has 224 divisors, whose sum is σ = 1125352800. Its totient is φ = 79781760.

The previous prime is 316356839. The next prime is 316356847. The reversal of 316356840 is 48653613.

316356840 is a `hidden beast` number, since 31 + 63 + 568 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 316356795 and 316356804.

It is not an unprimeable number, because it can be changed into a prime (316356847) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 553755 + ... + 554325.

Almost surely, 2^316356840 is an apocalyptic number.

316356840 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 316356840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562676400).

316356840 is an abundant number, since it is smaller than the sum of its proper divisors (808995960).

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

316356840 is a wasteful number, since it uses less digits than its factorization.

316356840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 316356840 is about 17786.4229118730. The cubic root of 316356840 is about 681.3847502716.

The spelling of 316356840 in words is "three hundred sixteen million, three hundred fifty-six thousand, eight hundred forty".