116832500 has 60 divisors (see below), whose sum is σ = 270616500. Its totient is φ = 43968000.

The previous prime is 116832497. The next prime is 116832509. The reversal of 116832500 is 5238611.

116832500 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 96275344 + 20557156 = 9812^2 + 4534^2 .

116832500 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 116832500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116832509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41126 + ... + 43874.

It is an arithmetic number, because the mean of its divisors is an integer number (4510275).

Almost surely, 2^116832500 is an apocalyptic number.

116832500 is a gapful number since it is divisible by the number (10) 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 116832500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135308250).

116832500 is an abundant number, since it is smaller than the sum of its proper divisors (153784000).

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

116832500 is a wasteful number, since it uses less digits than its factorization.

116832500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 116832500 is about 10808.9083630124. The cubic root of 116832500 is about 488.8638120364.

The spelling of 116832500 in words is "one hundred sixteen million, eight hundred thirty-two thousand, five hundred".