233920 has 56 divisors (see below), whose sum is σ = 603504. Its totient is φ = 86016.

The previous prime is 233917. The next prime is 233921. The reversal of 233920 is 29332.

233920 is nontrivially palindromic in base 3 and base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5419 + ... + 5461.

233920 is a Friedman number, since it can be written as 320*(9^3+2), using all its digits and the basic arithmetic operations.

2²³³⁹²⁰ is an apocalyptic number.

233920 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 233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301752).

233920 is an abundant number, since it is smaller than the sum of its proper divisors (369584).

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

233920 is a wasteful number, since it uses less digits than its factorization.

233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 233920 is about 483.6527680061. The cubic root of 233920 is about 61.6153781812.

The spelling of 233920 in words is "two hundred thirty-three thousand, nine hundred twenty".