115729680 has 160 divisors (see below), whose sum is σ = 398545920. Its totient is φ = 27543040.

The previous prime is 115729657. The next prime is 115729697. The reversal of 115729680 is 86927511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155389 + ... + 156131.

It is an arithmetic number, because the mean of its divisors is an integer number (2490912).

Almost surely, 2^115729680 is an apocalyptic number.

115729680 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 115729680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199272960).

115729680 is an abundant number, since it is smaller than the sum of its proper divisors (282816240).

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

115729680 is a wasteful number, since it uses less digits than its factorization.

115729680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 115729680 is about 10757.7730037401. The cubic root of 115729680 is about 487.3207651426.

The spelling of 115729680 in words is "one hundred fifteen million, seven hundred twenty-nine thousand, six hundred eighty".