315056720 has 80 divisors (see below), whose sum is σ = 824947200. Its totient is φ = 110860800.

The previous prime is 315056719. The next prime is 315056771. The reversal of 315056720 is 27650513.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21506 + ... + 33054.

It is an arithmetic number, because the mean of its divisors is an integer number (10311840).

Almost surely, 2^315056720 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 315056720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412473600).

315056720 is an abundant number, since it is smaller than the sum of its proper divisors (509890480).

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

315056720 is a wasteful number, since it uses less digits than its factorization.

315056720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11604 (or 11598 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 315056720 is about 17749.8371823518. The cubic root of 315056720 is about 680.4500480973.

The spelling of 315056720 in words is "three hundred fifteen million, fifty-six thousand, seven hundred twenty".