115790976 has 192 divisors, whose sum is σ = 387616320. Its totient is φ = 32495616.

The previous prime is 115790971. The next prime is 115790977. The reversal of 115790976 is 679097511.

115790976 is a `hidden beast` number, since 1 + 1 + 579 + 0 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (115790971) 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, 669226 + ... + 669398.

It is an arithmetic number, because the mean of its divisors is an integer number (2018835).

Almost surely, 2^115790976 is an apocalyptic number.

115790976 is a gapful number since it is divisible by the number (16) 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 115790976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193808160).

115790976 is an abundant number, since it is smaller than the sum of its proper divisors (271825344).

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

115790976 is a wasteful number, since it uses less digits than its factorization.

115790976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The square root of 115790976 is about 10760.6215433868. The cubic root of 115790976 is about 487.4067861227.

It can be divided in two parts, 11 and 5790976, that multiplied together give a palindrome (63700736).

The spelling of 115790976 in words is "one hundred fifteen million, seven hundred ninety thousand, nine hundred seventy-six".