320332320 has 576 divisors, whose sum is σ = 1426553856. Its totient is φ = 65940480.

The previous prime is 320332319. The next prime is 320332349. The reversal of 320332320 is 23233023.

320332320 is a `hidden beast` number, since 320 + 3 + 323 + 20 = 666.

It is a super-2 number, since 2×320332320² = 205225590473164800, which contains 22 as substring.

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 = 320332293 and 320332302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2993707 + ... + 2993813.

It is an arithmetic number, because the mean of its divisors is an integer number (2476656).

Almost surely, 2^320332320 is an apocalyptic number.

320332320 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 320332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713276928).

320332320 is an abundant number, since it is smaller than the sum of its proper divisors (1106221536).

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

320332320 is a wasteful number, since it uses less digits than its factorization.

320332320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 320332320 is about 17897.8300360686. The cubic root of 320332320 is about 684.2270714239.

Adding to 320332320 its reverse (23233023), we get a palindrome (343565343).

The spelling of 320332320 in words is "three hundred twenty million, three hundred thirty-two thousand, three hundred twenty".