233580 has 48 divisors (see below), whose sum is σ = 695520. Its totient is φ = 58368.

The previous prime is 233557. The next prime is 233591. The reversal of 233580 is 85332.

233580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a nialpdrome in base 12.

It is an unprimeable number.

233580 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, 906 + ... + 1134.

It is an arithmetic number, because the mean of its divisors is an integer number (14490).

2²³³⁵⁸⁰ is an apocalyptic number.

233580 is a gapful number since it is divisible by the number (20) 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 233580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347760).

233580 is an abundant number, since it is smaller than the sum of its proper divisors (461940).

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

233580 is a wasteful number, since it uses less digits than its factorization.

233580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 233580 is about 483.3011483537. The cubic root of 233580 is about 61.5855112942.

It can be divided in two parts, 2335 and 80, that added together give a triangular number (2415 = T₆₉).

The spelling of 233580 in words is "two hundred thirty-three thousand, five hundred eighty".