116633184 has 96 divisors (see below), whose sum is σ = 323253504. Its totient is φ = 36748800.

The previous prime is 116633171. The next prime is 116633189. The reversal of 116633184 is 481336611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116633189) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222747 + ... + 223269.

It is an arithmetic number, because the mean of its divisors is an integer number (3367224).

Almost surely, 2^116633184 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 116633184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161626752).

116633184 is an abundant number, since it is smaller than the sum of its proper divisors (206620320).

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

116633184 is a wasteful number, since it uses less digits than its factorization.

116633184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 116633184 is about 10799.6844398343. The cubic root of 116633184 is about 488.5856535844.

Adding to 116633184 its reverse (481336611), we get a palindrome (597969795).

The spelling of 116633184 in words is "one hundred sixteen million, six hundred thirty-three thousand, one hundred eighty-four".