233064 has 64 divisors (see below), whose sum is σ = 705600. Its totient is φ = 70848.

The previous prime is 233021. The next prime is 233069. The reversal of 233064 is 460332.

233064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 233064.

It is not an unprimeable number, because it can be changed into a prime (233069) by changing a digit.

233064 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 15 ways as a sum of consecutive naturals, for example, 2767 + ... + 2849.

It is an arithmetic number, because the mean of its divisors is an integer number (11025).

2²³³⁰⁶⁴ is an apocalyptic number.

233064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800).

233064 is an abundant number, since it is smaller than the sum of its proper divisors (472536).

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

233064 is a wasteful number, since it uses less digits than its factorization.

233064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 233064 is about 482.7670245574. The cubic root of 233064 is about 61.5401284805.

Adding to 233064 its reverse (460332), we get a palindrome (693396).

The spelling of 233064 in words is "two hundred thirty-three thousand, sixty-four".