115465168 has 60 divisors (see below), whose sum is σ = 280281540. Its totient is φ = 45674496.

The previous prime is 115465127. The next prime is 115465169. The reversal of 115465168 is 861564511.

It can be written as a sum of positive squares in 2 ways, for example, as 28005264 + 87459904 = 5292^2 + 9352^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115465169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4528 + ... + 15856.

It is an arithmetic number, because the mean of its divisors is an integer number (4671359).

Almost surely, 2^115465168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115465168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140140770).

115465168 is an abundant number, since it is smaller than the sum of its proper divisors (164816372).

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

115465168 is a wasteful number, since it uses less digits than its factorization.

115465168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11364 (or 11351 counting only the distinct ones).

The product of its digits is 28800, while the sum is 37.

The square root of 115465168 is about 10745.4719766048. The cubic root of 115465168 is about 486.9492081329.

The spelling of 115465168 in words is "one hundred fifteen million, four hundred sixty-five thousand, one hundred sixty-eight".