232005760 has 64 divisors (see below), whose sum is σ = 633885120. Its totient is φ = 79543296.

The previous prime is 232005721. The next prime is 232005773. The reversal of 232005760 is 67500232.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21414 + ... + 30373.

It is an arithmetic number, because the mean of its divisors is an integer number (9904455).

Almost surely, 2^232005760 is an apocalyptic number.

232005760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232005760 is an abundant number, since it is smaller than the sum of its proper divisors (401879360).

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

232005760 is an equidigital number, since it uses as much as digits as its factorization.

232005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51813 (or 51801 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 232005760 is about 15231.7352918175. The cubic root of 232005760 is about 614.4684503091.

Adding to 232005760 its reverse (67500232), we get a palindrome (299505992).

The spelling of 232005760 in words is "two hundred thirty-two million, five thousand, seven hundred sixty".