313699120 has 80 divisors (see below), whose sum is σ = 877443840. Its totient is φ = 101889792.

The previous prime is 313699117. The next prime is 313699121. The reversal of 313699120 is 21996313.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (313699121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4102 + ... + 25381.

It is an arithmetic number, because the mean of its divisors is an integer number (10968048).

Almost surely, 2^313699120 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 313699120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

313699120 is an abundant number, since it is smaller than the sum of its proper divisors (563744720).

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

313699120 is a wasteful number, since it uses less digits than its factorization.

313699120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29522 (or 29516 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

The square root of 313699120 is about 17711.5532915665. The cubic root of 313699120 is about 679.4712729680.

The spelling of 313699120 in words is "three hundred thirteen million, six hundred ninety-nine thousand, one hundred twenty".