115840 has 32 divisors (see below), whose sum is σ = 278460. Its totient is φ = 46080.

The previous prime is 115837. The next prime is 115849. The reversal of 115840 is 48511.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 18496 = 312^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×115840³ = 4663338074112000, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (115849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 550 + ... + 730.

2¹¹⁵⁸⁴⁰ is an apocalyptic number.

115840 is a gapful number since it is divisible by the number (10) 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 115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139230).

115840 is an abundant number, since it is smaller than the sum of its proper divisors (162620).

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

115840 is an equidigital number, since it uses as much as digits as its factorization.

115840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 115840 is about 340.3527581789. The cubic root of 115840 is about 48.7475563097.

The spelling of 115840 in words is "one hundred fifteen thousand, eight hundred forty".