115835040 has 144 divisors (see below), whose sum is σ = 398092968. Its totient is φ = 30670848.

The previous prime is 115835033. The next prime is 115835053. The reversal of 115835040 is 40538511.

115835040 is a `hidden beast` number, since 1 + 158 + 3 + 504 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90554256 + 25280784 = 9516^2 + 5028^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 115834995 and 115835013.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 369924 + ... + 370236.

Almost surely, 2^115835040 is an apocalyptic number.

115835040 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 115835040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199046484).

115835040 is an abundant number, since it is smaller than the sum of its proper divisors (282257928).

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

115835040 is a wasteful number, since it uses less digits than its factorization.

115835040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 115835040 is about 10762.6688140071. The cubic root of 115835040 is about 487.4686054733.

The spelling of 115835040 in words is "one hundred fifteen million, eight hundred thirty-five thousand, forty".