115764768 has 96 divisors (see below), whose sum is σ = 385902720. Its totient is φ = 33073920.

The previous prime is 115764751. The next prime is 115764793. The reversal of 115764768 is 867467511.

115764768 is a `hidden beast` number, since 1 + 1 + 576 + 4 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3523 + ... + 15618.

It is an arithmetic number, because the mean of its divisors is an integer number (4019820).

Almost surely, 2^115764768 is an apocalyptic number.

115764768 is a gapful number since it is divisible by the number (18) 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 115764768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192951360).

115764768 is an abundant number, since it is smaller than the sum of its proper divisors (270137952).

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

115764768 is a wasteful number, since it uses less digits than its factorization.

115764768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19167 (or 19153 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 115764768 is about 10759.4037009492. The cubic root of 115764768 is about 487.3700103123.

The spelling of 115764768 in words is "one hundred fifteen million, seven hundred sixty-four thousand, seven hundred sixty-eight".