115932520 has 96 divisors (see below), whose sum is σ = 303798600. Its totient is φ = 39649280.

The previous prime is 115932499. The next prime is 115932521. The reversal of 115932520 is 25239511.

It can be written as a sum of positive squares in 4 ways, for example, as 73239364 + 42693156 = 8558^2 + 6534^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115932521) 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, 81576 + ... + 82984.

Almost surely, 2^115932520 is an apocalyptic number.

115932520 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 115932520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151899300).

115932520 is an abundant number, since it is smaller than the sum of its proper divisors (187866080).

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

115932520 is a wasteful number, since it uses less digits than its factorization.

115932520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 115932520 is about 10767.1964781925. The cubic root of 115932520 is about 487.6053088298.

The spelling of 115932520 in words is "one hundred fifteen million, nine hundred thirty-two thousand, five hundred twenty".