115305680 has 80 divisors (see below), whose sum is σ = 322538880. Its totient is φ = 37449216.

The previous prime is 115305649. The next prime is 115305691. The reversal of 115305680 is 86503511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5222 + ... + 16058.

It is an arithmetic number, because the mean of its divisors is an integer number (4031736).

Almost surely, 2^115305680 is an apocalyptic number.

115305680 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 115305680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161269440).

115305680 is an abundant number, since it is smaller than the sum of its proper divisors (207233200).

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

115305680 is a wasteful number, since it uses less digits than its factorization.

115305680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10876 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 115305680 is about 10738.0482397873. The cubic root of 115305680 is about 486.7249028535.

The spelling of 115305680 in words is "one hundred fifteen million, three hundred five thousand, six hundred eighty".