115435520 has 48 divisors (see below), whose sum is σ = 277002180. Its totient is φ = 46170112.

The previous prime is 115435519. The next prime is 115435531. The reversal of 115435520 is 25534511.

It can be written as a sum of positive squares in 2 ways, for example, as 110838784 + 4596736 = 10528^2 + 2144^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 115435520.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4604 + ... + 15876.

Almost surely, 2^115435520 is an apocalyptic number.

115435520 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 115435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138501090).

115435520 is an abundant number, since it is smaller than the sum of its proper divisors (161566660).

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

115435520 is an equidigital number, since it uses as much as digits as its factorization.

115435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11300 (or 11280 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 115435520 is about 10744.0923302064. The cubic root of 115435520 is about 486.9075265701.

The spelling of 115435520 in words is "one hundred fifteen million, four hundred thirty-five thousand, five hundred twenty".