115033968 has 240 divisors, whose sum is σ = 400420800. Its totient is φ = 30707712.

The previous prime is 115033943. The next prime is 115033973. The reversal of 115033968 is 869330511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839596 + ... + 839732.

It is an arithmetic number, because the mean of its divisors is an integer number (1668420).

Almost surely, 2^115033968 is an apocalyptic number.

115033968 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 115033968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200210400).

115033968 is an abundant number, since it is smaller than the sum of its proper divisors (285386832).

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

115033968 is a wasteful number, since it uses less digits than its factorization.

115033968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 115033968 is about 10725.3889439964. The cubic root of 115033968 is about 486.3422879573.

The spelling of 115033968 in words is "one hundred fifteen million, thirty-three thousand, nine hundred sixty-eight".