313990656 has 320 divisors, whose sum is σ = 1060646400. Its totient is φ = 80510976.

The previous prime is 313990631. The next prime is 313990657. The reversal of 313990656 is 656099313.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313990657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5924326 + ... + 5924378.

It is an arithmetic number, because the mean of its divisors is an integer number (3314520).

Almost surely, 2^313990656 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 313990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530323200).

313990656 is an abundant number, since it is smaller than the sum of its proper divisors (746655744).

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

313990656 is a wasteful number, since it uses less digits than its factorization.

313990656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 42.

The square root of 313990656 is about 17719.7814884947. The cubic root of 313990656 is about 679.6816964715.

The spelling of 313990656 in words is "three hundred thirteen million, nine hundred ninety thousand, six hundred fifty-six".