314607320 has 64 divisors (see below), whose sum is σ = 752544000. Its totient is φ = 118032768.

The previous prime is 314607281. The next prime is 314607323. The reversal of 314607320 is 23706413.

It is a self number, because there is not a number n which added to its sum of digits gives 314607320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314607323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 76271 + ... + 80289.

It is an arithmetic number, because the mean of its divisors is an integer number (11758500).

Almost surely, 2^314607320 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 314607320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376272000).

314607320 is an abundant number, since it is smaller than the sum of its proper divisors (437936680).

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

314607320 is a wasteful number, since it uses less digits than its factorization.

314607320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 314607320 is about 17737.1733937513. The cubic root of 314607320 is about 680.1263606007.

The spelling of 314607320 in words is "three hundred fourteen million, six hundred seven thousand, three hundred twenty".