233604 has 60 divisors (see below), whose sum is σ = 704704. Its totient is φ = 66096.

The previous prime is 233599. The next prime is 233609. The reversal of 233604 is 406332.

It is an interprime number because it is at equal distance from previous prime (233599) and next prime (233609).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233609) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2217 + ... + 2319.

2²³³⁶⁰⁴ 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 233604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352352).

233604 is an abundant number, since it is smaller than the sum of its proper divisors (471100).

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

233604 is a wasteful number, since it uses less digits than its factorization.

233604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 115 counting only the distinct ones).

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

The square root of 233604 is about 483.3259769555. The cubic root of 233604 is about 61.5876204954.

Subtracting from 233604 its sum of digits (18), we obtain a triangular number (233586 = T₆₈₃).

Adding to 233604 its reverse (406332), we get a palindrome (639936).

The spelling of 233604 in words is "two hundred thirty-three thousand, six hundred four".