232968 has 32 divisors (see below), whose sum is σ = 617760. Its totient is φ = 72960.

The previous prime is 232963. The next prime is 232987. The reversal of 232968 is 869232.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232961) by changing a digit.

232968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123 + ... + 693.

It is an arithmetic number, because the mean of its divisors is an integer number (19305).

2²³²⁹⁶⁸ 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 232968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308880).

232968 is an abundant number, since it is smaller than the sum of its proper divisors (384792).

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

232968 is a wasteful number, since it uses less digits than its factorization.

232968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 232968 is about 482.6675874761. The cubic root of 232968 is about 61.5316777779.

The spelling of 232968 in words is "two hundred thirty-two thousand, nine hundred sixty-eight".