233664 has 28 divisors (see below), whose sum is σ = 618744. Its totient is φ = 77824.

The previous prime is 233663. The next prime is 233669. The reversal of 233664 is 466332.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 233664.

It is not an unprimeable number, because it can be changed into a prime (233663) 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, 417 + ... + 800.

It is an arithmetic number, because the mean of its divisors is an integer number (22098).

2²³³⁶⁶⁴ is an apocalyptic number.

233664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233664 is an abundant number, since it is smaller than the sum of its proper divisors (385080).

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

233664 is a wasteful number, since it uses less digits than its factorization.

233664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 1222 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

The square root of 233664 is about 483.3880428807. The cubic root of 233664 is about 61.5928928664.

Adding to 233664 its reverse (466332), we get a palindrome (699996).

The spelling of 233664 in words is "two hundred thirty-three thousand, six hundred sixty-four".