116809200 has 180 divisors, whose sum is σ = 411969168. Its totient is φ = 30643200.

The previous prime is 116809183. The next prime is 116809201. The reversal of 116809200 is 2908611.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116809201) 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 35 ways as a sum of consecutive naturals, for example, 255372 + ... + 255828.

Almost surely, 2^116809200 is an apocalyptic number.

116809200 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 116809200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205984584).

116809200 is an abundant number, since it is smaller than the sum of its proper divisors (295159968).

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

116809200 is a wasteful number, since it uses less digits than its factorization.

116809200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 116809200 is about 10807.8304945997. The cubic root of 116809200 is about 488.8313117072.

The spelling of 116809200 in words is "one hundred sixteen million, eight hundred nine thousand, two hundred".