314608560 has 160 divisors (see below), whose sum is σ = 1119785472. Its totient is φ = 71577600.

The previous prime is 314608531. The next prime is 314608571. The reversal of 314608560 is 65806413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 673447 + ... + 673913.

Almost surely, 2^314608560 is an apocalyptic number.

314608560 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 314608560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559892736).

314608560 is an abundant number, since it is smaller than the sum of its proper divisors (805176912).

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

314608560 is a wasteful number, since it uses less digits than its factorization.

314608560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 314608560 is about 17737.2083485536. The cubic root of 314608560 is about 680.1272541544.

The spelling of 314608560 in words is "three hundred fourteen million, six hundred eight thousand, five hundred sixty".