115382880 has 240 divisors, whose sum is σ = 422619120. Its totient is φ = 29611008.

The previous prime is 115382879. The next prime is 115382887. The reversal of 115382880 is 88283511.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115382887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375687 + ... + 375993.

It is an arithmetic number, because the mean of its divisors is an integer number (1760913).

Almost surely, 2^115382880 is an apocalyptic number.

115382880 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 115382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211309560).

115382880 is an abundant number, since it is smaller than the sum of its proper divisors (307236240).

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

115382880 is a wasteful number, since it uses less digits than its factorization.

115382880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 115382880 is about 10741.6423325300. The cubic root of 115382880 is about 486.8335034006.

The spelling of 115382880 in words is "one hundred fifteen million, three hundred eighty-two thousand, eight hundred eighty".