233968 has 20 divisors (see below), whose sum is σ = 518320. Its totient is φ = 100224.

The previous prime is 233941. The next prime is 233969. The reversal of 233968 is 869332.

It is a happy number.

233968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233969) by changing a digit.

233968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 933 + ... + 1156.

It is an arithmetic number, because the mean of its divisors is an integer number (25916).

2²³³⁹⁶⁸ is an apocalyptic number.

233968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

233968 is an abundant number, since it is smaller than the sum of its proper divisors (284352).

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

233968 is a wasteful number, since it uses less digits than its factorization.

233968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104 (or 2098 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 233968 is about 483.7023878378. The cubic root of 233968 is about 61.6195923511.

The spelling of 233968 in words is "two hundred thirty-three thousand, nine hundred sixty-eight".