233168 has 40 divisors (see below), whose sum is σ = 520800. Its totient is φ = 100224.

The previous prime is 233161. The next prime is 233173. The reversal of 233168 is 861332.

233168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233161) by changing a digit.

233168 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 7 ways as a sum of consecutive naturals, for example, 3923 + ... + 3981.

It is an arithmetic number, because the mean of its divisors is an integer number (13020).

2²³³¹⁶⁸ 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 233168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260400).

233168 is an abundant number, since it is smaller than the sum of its proper divisors (287632).

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

233168 is a wasteful number, since it uses less digits than its factorization.

233168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 233168 is about 482.8747249546. The cubic root of 233168 is about 61.5492807900.

The spelling of 233168 in words is "two hundred thirty-three thousand, one hundred sixty-eight".