232120320 has 112 divisors (see below), whose sum is σ = 743132880. Its totient is φ = 61865984.

The previous prime is 232120319. The next prime is 232120327. The reversal of 232120320 is 23021232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232120320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232120327) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 121936 + ... + 123824.

It is an arithmetic number, because the mean of its divisors is an integer number (6635115).

Almost surely, 2^232120320 is an apocalyptic number.

232120320 is a gapful number since it is divisible by the number (20) 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 232120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371566440).

232120320 is an abundant number, since it is smaller than the sum of its proper divisors (511012560).

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

232120320 is an equidigital number, since it uses as much as digits as its factorization.

232120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 232120320 is about 15235.4953972623. The cubic root of 232120320 is about 614.5695712505.

Adding to 232120320 its reverse (23021232), we get a palindrome (255141552).

The spelling of 232120320 in words is "two hundred thirty-two million, one hundred twenty thousand, three hundred twenty".