314520680 has 64 divisors (see below), whose sum is σ = 747446400. Its totient is φ = 118782720.

The previous prime is 314520667. The next prime is 314520691. The reversal of 314520680 is 86025413.

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, 319469 + ... + 320451.

It is an arithmetic number, because the mean of its divisors is an integer number (11678850).

Almost surely, 2^314520680 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 314520680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373723200).

314520680 is an abundant number, since it is smaller than the sum of its proper divisors (432925720).

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

314520680 is a wasteful number, since it uses less digits than its factorization.

314520680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 314520680 is about 17734.7308973099. The cubic root of 314520680 is about 680.0639213267.

The spelling of 314520680 in words is "three hundred fourteen million, five hundred twenty thousand, six hundred eighty".