232880 has 40 divisors (see below), whose sum is σ = 562464. Its totient is φ = 89600.

The previous prime is 232877. The next prime is 232891. The reversal of 232880 is 88232.

232880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3245 + ... + 3315.

2²³²⁸⁸⁰ is an apocalyptic number.

232880 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 232880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232).

232880 is an abundant number, since it is smaller than the sum of its proper divisors (329584).

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

232880 is a wasteful number, since it uses less digits than its factorization.

232880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 232880 is about 482.5764188188. The cubic root of 232880 is about 61.5239292608.

Adding to 232880 its sum of digits (23), we get a triangular number (232903 = T₆₈₂).

The spelling of 232880 in words is "two hundred thirty-two thousand, eight hundred eighty".