115408080 has 120 divisors (see below), whose sum is σ = 392151240. Its totient is φ = 30412800.

The previous prime is 115408079. The next prime is 115408141. The reversal of 115408080 is 80804511.

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 115089984 = 564^2 + 10728^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63180 + ... + 64980.

It is an arithmetic number, because the mean of its divisors is an integer number (3267927).

Almost surely, 2^115408080 is an apocalyptic number.

115408080 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 115408080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196075620).

115408080 is an abundant number, since it is smaller than the sum of its proper divisors (276743160).

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

115408080 is a wasteful number, since it uses less digits than its factorization.

115408080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 115408080 is about 10742.8152734746. The cubic root of 115408080 is about 486.8689428328.

The spelling of 115408080 in words is "one hundred fifteen million, four hundred eight thousand, eighty".