233940 has 48 divisors (see below), whose sum is σ = 749952. Its totient is φ = 53376.

The previous prime is 233939. The next prime is 233941. The reversal of 233940 is 49332.

233940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233939) and next prime (233941).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233941) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142 + ... + 698.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2²³³⁹⁴⁰ is an apocalyptic number.

233940 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 233940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

233940 is an abundant number, since it is smaller than the sum of its proper divisors (516012).

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

233940 is a wasteful number, since it uses less digits than its factorization.

233940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 233940 is about 483.6734435546. The cubic root of 233940 is about 61.6171341553.

The spelling of 233940 in words is "two hundred thirty-three thousand, nine hundred forty".