320232960 has 320 divisors, whose sum is σ = 1175549760. Its totient is φ = 82575360.

The previous prime is 320232937. The next prime is 320232971. The reversal of 320232960 is 69232023.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2833864 + ... + 2833976.

It is an arithmetic number, because the mean of its divisors is an integer number (3673593).

Almost surely, 2^320232960 is an apocalyptic number.

320232960 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 320232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587774880).

320232960 is an abundant number, since it is smaller than the sum of its proper divisors (855316800).

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

320232960 is a wasteful number, since it uses less digits than its factorization.

320232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 320232960 is about 17895.0540652997. The cubic root of 320232960 is about 684.1563200740.

Adding to 320232960 its reverse (69232023), we get a palindrome (389464983).

The spelling of 320232960 in words is "three hundred twenty million, two hundred thirty-two thousand, nine hundred sixty".