115875936 has 144 divisors (see below), whose sum is σ = 364815360. Its totient is φ = 34594560.

The previous prime is 115875917. The next prime is 115875937. The reversal of 115875936 is 639578511.

It is a happy number.

115875936 is a `hidden beast` number, since 1 + 1 + 58 + 7 + 593 + 6 = 666.

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 = 115875891 and 115875900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115875937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250041 + ... + 250503.

It is an arithmetic number, because the mean of its divisors is an integer number (2533440).

Almost surely, 2^115875936 is an apocalyptic number.

115875936 is a gapful number since it is divisible by the number (16) 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 115875936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182407680).

115875936 is an abundant number, since it is smaller than the sum of its proper divisors (248939424).

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

115875936 is a wasteful number, since it uses less digits than its factorization.

115875936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 558 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 115875936 is about 10764.5685468578. The cubic root of 115875936 is about 487.5259662698.

The spelling of 115875936 in words is "one hundred fifteen million, eight hundred seventy-five thousand, nine hundred thirty-six".