115617168 has 60 divisors (see below), whose sum is σ = 329694300. Its totient is φ = 37809408.

The previous prime is 115617149. The next prime is 115617179. The reversal of 115617168 is 861716511.

It can be written as a sum of positive squares in 2 ways, for example, as 82301184 + 33315984 = 9072^2 + 5772^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58 + ... + 15206.

It is an arithmetic number, because the mean of its divisors is an integer number (5494905).

Almost surely, 2^115617168 is an apocalyptic number.

115617168 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 115617168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164847150).

115617168 is an abundant number, since it is smaller than the sum of its proper divisors (214077132).

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

115617168 is a wasteful number, since it uses less digits than its factorization.

115617168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15216 (or 15207 counting only the distinct ones).

The product of its digits is 10080, while the sum is 36.

The square root of 115617168 is about 10752.5423970334. The cubic root of 115617168 is about 487.1627900756.

The spelling of 115617168 in words is "one hundred fifteen million, six hundred seventeen thousand, one hundred sixty-eight".