115830 has 80 divisors (see below), whose sum is σ = 365904. Its totient is φ = 25920.

The previous prime is 115823. The next prime is 115831. The reversal of 115830 is 38511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115831) by changing a digit.

115830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8904 + ... + 8916.

2¹¹⁵⁸³⁰ is an apocalyptic number.

115830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182952).

115830 is an abundant number, since it is smaller than the sum of its proper divisors (250074).

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

115830 is a wasteful number, since it uses less digits than its factorization.

115830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 115830 is about 340.3380672214. The cubic root of 115830 is about 48.7461535427.

The spelling of 115830 in words is "one hundred fifteen thousand, eight hundred thirty".