115797520 has 60 divisors (see below), whose sum is σ = 274418820. Its totient is φ = 45442560.

The previous prime is 115797511. The next prime is 115797529. The reversal of 115797520 is 25797511.

It is an interprime number because it is at equal distance from previous prime (115797511) and next prime (115797529).

It can be written as a sum of positive squares in 6 ways, for example, as 61214976 + 54582544 = 7824^2 + 7388^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 115797520.

It is not an unprimeable number, because it can be changed into a prime (115797529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297486 + ... + 297874.

It is an arithmetic number, because the mean of its divisors is an integer number (4573647).

Almost surely, 2^115797520 is an apocalyptic number.

115797520 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 115797520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137209410).

115797520 is an abundant number, since it is smaller than the sum of its proper divisors (158621300).

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

115797520 is an equidigital number, since it uses as much as digits as its factorization.

115797520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 37.

The square root of 115797520 is about 10760.9256107456. The cubic root of 115797520 is about 487.4159679836.

Subtracting from 115797520 its reverse (25797511), we obtain a palindrome (90000009).

The spelling of 115797520 in words is "one hundred fifteen million, seven hundred ninety-seven thousand, five hundred twenty".