313607120 has 20 divisors (see below), whose sum is σ = 729136740. Its totient is φ = 125442816.

The previous prime is 313607089. The next prime is 313607123. The reversal of 313607120 is 21706313.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 116035984 + 197571136 = 10772^2 + 14056^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313607123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1959965 + ... + 1960124.

It is an arithmetic number, because the mean of its divisors is an integer number (36456837).

Almost surely, 2^313607120 is an apocalyptic number.

It is an amenable number.

313607120 is an abundant number, since it is smaller than the sum of its proper divisors (415529620).

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

313607120 is a wasteful number, since it uses less digits than its factorization.

313607120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920102 (or 3920096 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 313607120 is about 17708.9559263103. The cubic root of 313607120 is about 679.4048425732.

The spelling of 313607120 in words is "three hundred thirteen million, six hundred seven thousand, one hundred twenty".