115635520 has 336 divisors, whose sum is σ = 390192768. Its totient is φ = 31518720.

The previous prime is 115635511. The next prime is 115635521. The reversal of 115635520 is 25536511.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115635521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6086071 + ... + 6086089.

It is an arithmetic number, because the mean of its divisors is an integer number (1161288).

Almost surely, 2^115635520 is an apocalyptic number.

115635520 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 115635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195096384).

115635520 is an abundant number, since it is smaller than the sum of its proper divisors (274557248).

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

115635520 is a wasteful number, since it uses less digits than its factorization.

115635520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 115635520 is about 10753.3957427410. The cubic root of 115635520 is about 487.1885646172.

Subtracting from 115635520 its reverse (25536511), we obtain a palindrome (90099009).

The spelling of 115635520 in words is "one hundred fifteen million, six hundred thirty-five thousand, five hundred twenty".