115520 has 42 divisors (see below), whose sum is σ = 290322. Its totient is φ = 43776.

The previous prime is 115513. The next prime is 115523. The reversal of 115520 is 25511.

It can be written as a sum of positive squares in only one way, i.e., 92416 + 23104 = 304^2 + 152^2 .

It is a junction number, because it is equal to n+sod(n) for n = 115495 and 115504.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115520.

It is not an unprimeable number, because it can be changed into a prime (115523) by changing a digit.

115520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6071 + ... + 6089.

2¹¹⁵⁵²⁰ is an apocalyptic number.

115520 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 115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145161).

115520 is an abundant number, since it is smaller than the sum of its proper divisors (174802).

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

115520 is an equidigital number, since it uses as much as digits as its factorization.

115520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 115520 is about 339.8823325800. The cubic root of 115520 is about 48.7026276609.

Subtracting from 115520 its reverse (25511), we obtain a palindrome (90009).

The spelling of 115520 in words is "one hundred fifteen thousand, five hundred twenty".