320314320 has 240 divisors, whose sum is σ = 1129070592. Its totient is φ = 81285120.

The previous prime is 320314279. The next prime is 320314343. The reversal of 320314320 is 23413023.

320314320 is a `hidden beast` number, since 32 + 0 + 314 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 320314293 and 320314302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2522097 + ... + 2522223.

Almost surely, 2^320314320 is an apocalyptic number.

320314320 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 320314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564535296).

320314320 is an abundant number, since it is smaller than the sum of its proper divisors (808756272).

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

320314320 is a wasteful number, since it uses less digits than its factorization.

320314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 320314320 is about 17897.3271747487. The cubic root of 320314320 is about 684.2142552356.

Adding to 320314320 its reverse (23413023), we get a palindrome (343727343).

The spelling of 320314320 in words is "three hundred twenty million, three hundred fourteen thousand, three hundred twenty".