314575680 has 112 divisors (see below), whose sum is σ = 1004157504. Its totient is φ = 83435520.

The previous prime is 314575661. The next prime is 314575741. The reversal of 314575680 is 86575413.

It is a congruent number.

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, 201784 + ... + 203336.

It is an arithmetic number, because the mean of its divisors is an integer number (8965692).

Almost surely, 2^314575680 is an apocalyptic number.

314575680 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 314575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502078752).

314575680 is an abundant number, since it is smaller than the sum of its proper divisors (689581824).

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

314575680 is a wasteful number, since it uses less digits than its factorization.

314575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 314575680 is about 17736.2814592011. The cubic root of 314575680 is about 680.1035597756.

The spelling of 314575680 in words is "three hundred fourteen million, five hundred seventy-five thousand, six hundred eighty".