115840000 has 110 divisors (see below), whose sum is σ = 290964674. Its totient is φ = 46080000.

The previous prime is 115839973. The next prime is 115840001. The reversal of 115840000 is 48511.

It can be written as a sum of positive squares in 5 ways, for example, as 83759104 + 32080896 = 9152^2 + 5664^2 .

It is a super-3 number, since 3×115840000³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 115840000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115840001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639910 + ... + 640090.

Almost surely, 2^115840000 is an apocalyptic number.

115840000 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 115840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145482337).

115840000 is an abundant number, since it is smaller than the sum of its proper divisors (175124674).

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

115840000 is an frugal number, since it uses more digits than its factorization.

115840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 188 counting only the distinct ones).

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

The square root of 115840000 is about 10762.8992376590. The cubic root of 115840000 is about 487.4755630968.

Adding to 115840000 its reverse (48511), we get a palindrome (115888511).

The spelling of 115840000 in words is "one hundred fifteen million, eight hundred forty thousand".