320314560 has 224 divisors, whose sum is σ = 1079723520. Its totient is φ = 80289792.

The previous prime is 320314523. The next prime is 320314571. The reversal of 320314560 is 65413023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 320314560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1965039 + ... + 1965201.

Almost surely, 2^320314560 is an apocalyptic number.

320314560 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 320314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539861760).

320314560 is an abundant number, since it is smaller than the sum of its proper divisors (759408960).

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

320314560 is a wasteful number, since it uses less digits than its factorization.

320314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 320314560 is about 17897.3338796593. Note that the first 3 decimals coincide. The cubic root of 320314560 is about 684.2144261212.

Adding to 320314560 its reverse (65413023), we get a palindrome (385727583).

The spelling of 320314560 in words is "three hundred twenty million, three hundred fourteen thousand, five hundred sixty".