233880 has 32 divisors (see below), whose sum is σ = 702000. Its totient is φ = 62336.

The previous prime is 233879. The next prime is 233881. The reversal of 233880 is 88332.

It is an interprime number because it is at equal distance from previous prime (233879) and next prime (233881).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 233880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 855 + ... + 1094.

2²³³⁸⁸⁰ is an apocalyptic number.

233880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233880 is an abundant number, since it is smaller than the sum of its proper divisors (468120).

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

233880 is a wasteful number, since it uses less digits than its factorization.

233880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 233880 is about 483.6114142574. The cubic root of 233880 is about 61.6118659325.

The spelling of 233880 in words is "two hundred thirty-three thousand, eight hundred eighty".