115386768 has 300 divisors, whose sum is σ = 410509440. Its totient is φ = 31135104.

The previous prime is 115386763. The next prime is 115386773. The reversal of 115386768 is 867683511.

It is an interprime number because it is at equal distance from previous prime (115386763) and next prime (115386773).

It is not an unprimeable number, because it can be changed into a prime (115386763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1460553 + ... + 1460631.

Almost surely, 2^115386768 is an apocalyptic number.

115386768 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 115386768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205254720).

115386768 is an abundant number, since it is smaller than the sum of its proper divisors (295122672).

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

115386768 is a wasteful number, since it uses less digits than its factorization.

115386768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 115386768 is about 10741.8233089173. The cubic root of 115386768 is about 486.8389715354.

The spelling of 115386768 in words is "one hundred fifteen million, three hundred eighty-six thousand, seven hundred sixty-eight".