115368 has 64 divisors (see below), whose sum is σ = 345600. Its totient is φ = 31680.

The previous prime is 115363. The next prime is 115399. The reversal of 115368 is 863511.

115368 = T₁₁₂ + T₁₁₃ + ... + T₁₂₇.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (115361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5005 + ... + 5027.

It is an arithmetic number, because the mean of its divisors is an integer number (5400).

2¹¹⁵³⁶⁸ 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 115368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800).

115368 is an abundant number, since it is smaller than the sum of its proper divisors (230232).

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

115368 is a wasteful number, since it uses less digits than its factorization.

115368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 58 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 115368 is about 339.6586521789. The cubic root of 115368 is about 48.6812574837.

Adding to 115368 its reverse (863511), we get a palindrome (978879).

It can be divided in two parts, 1153 and 68, that added together give a palindrome (1221).

The spelling of 115368 in words is "one hundred fifteen thousand, three hundred sixty-eight".