231968 has 24 divisors (see below), whose sum is σ = 498960. Its totient is φ = 105280.

The previous prime is 231967. The next prime is 232003. The reversal of 231968 is 869132.

231968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 231968.

It is not an unprimeable number, because it can be changed into a prime (231961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23 + ... + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (20790).

2²³¹⁹⁶⁸ 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 231968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249480).

231968 is an abundant number, since it is smaller than the sum of its proper divisors (266992).

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

231968 is a wasteful number, since it uses less digits than its factorization.

231968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 672 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 231968 is about 481.6305638142. The cubic root of 231968 is about 61.4435112649.

It can be divided in two parts, 23 and 1968, that added together give a palindrome (1991).

The spelling of 231968 in words is "two hundred thirty-one thousand, nine hundred sixty-eight".