116388 has 36 divisors (see below), whose sum is σ = 304668. Its totient is φ = 37440.

The previous prime is 116387. The next prime is 116411. The reversal of 116388 is 883611.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 79524 = 192^2 + 282^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (116381) 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, 1878 + ... + 1938.

It is an arithmetic number, because the mean of its divisors is an integer number (8463).

2¹¹⁶³⁸⁸ is an apocalyptic number.

116388 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 116388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334).

116388 is an abundant number, since it is smaller than the sum of its proper divisors (188280).

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

116388 is a wasteful number, since it uses less digits than its factorization.

116388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 116388 is about 341.1568554199. The cubic root of 116388 is about 48.8243048329.

Adding to 116388 its reverse (883611), we get a palindrome (999999).

The spelling of 116388 in words is "one hundred sixteen thousand, three hundred eighty-eight".