314663680 has 72 divisors (see below), whose sum is σ = 771381072. Its totient is φ = 122916864.

The previous prime is 314663647. The next prime is 314663689. The reversal of 314663680 is 86366413.

314663680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×314663680² = 198026463022284800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314663689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52182 + ... + 57898.

It is an arithmetic number, because the mean of its divisors is an integer number (10713626).

Almost surely, 2^314663680 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 314663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385690536).

314663680 is an abundant number, since it is smaller than the sum of its proper divisors (456717392).

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

314663680 is an equidigital number, since it uses as much as digits as its factorization.

314663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5767 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 314663680 is about 17738.7620763119. The cubic root of 314663680 is about 680.1669716847.

The spelling of 314663680 in words is "three hundred fourteen million, six hundred sixty-three thousand, six hundred eighty".