315320656 has 80 divisors (see below), whose sum is σ = 745666560. Its totient is φ = 126161280.

The previous prime is 315320647. The next prime is 315320657. The reversal of 315320656 is 656023513.

It is a super-2 number, since 2×315320656² = 198854232200540672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315320657) 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, 150045 + ... + 152131.

It is an arithmetic number, because the mean of its divisors is an integer number (9320832).

Almost surely, 2^315320656 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 315320656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372833280).

315320656 is an abundant number, since it is smaller than the sum of its proper divisors (430345904).

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

315320656 is a wasteful number, since it uses less digits than its factorization.

315320656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 315320656 is about 17757.2705109766. The cubic root of 315320656 is about 680.6400087450.

The spelling of 315320656 in words is "three hundred fifteen million, three hundred twenty thousand, six hundred fifty-six".