313661656 has 64 divisors (see below), whose sum is σ = 735840000. Its totient is φ = 121772160.

The previous prime is 313661591. The next prime is 313661659. The reversal of 313661656 is 656166313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313661659) 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, 214255 + ... + 215713.

It is an arithmetic number, because the mean of its divisors is an integer number (11497500).

Almost surely, 2^313661656 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 313661656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367920000).

313661656 is an abundant number, since it is smaller than the sum of its proper divisors (422178344).

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

313661656 is a wasteful number, since it uses less digits than its factorization.

313661656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1828 counting only the distinct ones).

The product of its digits is 58320, while the sum is 37.

The square root of 313661656 is about 17710.4956452382. The cubic root of 313661656 is about 679.4442229238. Note that the first 3 decimals are identical.

The spelling of 313661656 in words is "three hundred thirteen million, six hundred sixty-one thousand, six hundred fifty-six".