313116840 has 160 divisors (see below), whose sum is σ = 1059422760. Its totient is φ = 82944000.

The previous prime is 313116803. The next prime is 313116847. The reversal of 313116840 is 48611313.

313116840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 313077636 + 39204 = 17694^2 + 198^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313116847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 780640 + ... + 781040.

Almost surely, 2^313116840 is an apocalyptic number.

313116840 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 313116840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529711380).

313116840 is an abundant number, since it is smaller than the sum of its proper divisors (746305920).

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

313116840 is a wasteful number, since it uses less digits than its factorization.

313116840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 313116840 is about 17695.1077984849. The cubic root of 313116840 is about 679.0506070559.

The spelling of 313116840 in words is "three hundred thirteen million, one hundred sixteen thousand, eight hundred forty".