313516560 has 160 divisors (see below), whose sum is σ = 1129927680. Its totient is φ = 70424064.

The previous prime is 313516559. The next prime is 313516573. The reversal of 313516560 is 65615313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 97539 + ... + 100701.

It is an arithmetic number, because the mean of its divisors is an integer number (7062048).

Almost surely, 2^313516560 is an apocalyptic number.

313516560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313516560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564963840).

313516560 is an abundant number, since it is smaller than the sum of its proper divisors (816411120).

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

313516560 is a wasteful number, since it uses less digits than its factorization.

313516560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 313516560 is about 17706.3988433560. The cubic root of 313516560 is about 679.3394392688.

The spelling of 313516560 in words is "three hundred thirteen million, five hundred sixteen thousand, five hundred sixty".