313684120 has 64 divisors (see below), whose sum is σ = 749088000. Its totient is φ = 117963648.

The previous prime is 313684117. The next prime is 313684121. The reversal of 313684120 is 21486313.

313684120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313684121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51391 + ... + 57169.

It is an arithmetic number, because the mean of its divisors is an integer number (11704500).

Almost surely, 2^313684120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313684120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374544000).

313684120 is an abundant number, since it is smaller than the sum of its proper divisors (435403880).

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

313684120 is a wasteful number, since it uses less digits than its factorization.

313684120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5872 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 313684120 is about 17711.1298340902. The cubic root of 313684120 is about 679.4604428116.

The spelling of 313684120 in words is "three hundred thirteen million, six hundred eighty-four thousand, one hundred twenty".