314763680 has 192 divisors, whose sum is σ = 960180480. Its totient is φ = 94617600.

The previous prime is 314763649. The next prime is 314763689. The reversal of 314763680 is 86367413.

It is not an unprimeable number, because it can be changed into a prime (314763689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356840 + ... + 357720.

It is an arithmetic number, because the mean of its divisors is an integer number (5000940).

Almost surely, 2^314763680 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 314763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480090240).

314763680 is an abundant number, since it is smaller than the sum of its proper divisors (645416800).

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

314763680 is a wasteful number, since it uses less digits than its factorization.

314763680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 314763680 is about 17741.5805383850. The cubic root of 314763680 is about 680.2390163232.

The spelling of 314763680 in words is "three hundred fourteen million, seven hundred sixty-three thousand, six hundred eighty".