233680 has 40 divisors (see below), whose sum is σ = 571392. Its totient is φ = 88704.

The previous prime is 233669. The next prime is 233683. The reversal of 233680 is 86332.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233683) by changing a digit.

233680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1777 + ... + 1903.

2²³³⁶⁸⁰ is an apocalyptic number.

233680 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 233680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285696).

233680 is an abundant number, since it is smaller than the sum of its proper divisors (337712).

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

233680 is a wasteful number, since it uses less digits than its factorization.

233680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 233680 is about 483.4045924482. The cubic root of 233680 is about 61.5942986796.

The spelling of 233680 in words is "two hundred thirty-three thousand, six hundred eighty".