320133320 has 192 divisors, whose sum is σ = 853804800. Its totient is φ = 107627520.

The previous prime is 320133301. The next prime is 320133347. The reversal of 320133320 is 23331023.

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, 4508885 + ... + 4508955.

It is an arithmetic number, because the mean of its divisors is an integer number (4446900).

Almost surely, 2^320133320 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 320133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426902400).

320133320 is an abundant number, since it is smaller than the sum of its proper divisors (533671480).

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

320133320 is a wasteful number, since it uses less digits than its factorization.

320133320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 320133320 is about 17892.2698392350. The cubic root of 320133320 is about 684.0853546459.

Adding to 320133320 its reverse (23331023), we get a palindrome (343464343).

The spelling of 320133320 in words is "three hundred twenty million, one hundred thirty-three thousand, three hundred twenty".