116636800 has 192 divisors, whose sum is σ = 339978240. Its totient is φ = 38707200.

The previous prime is 116636761. The next prime is 116636809. The reversal of 116636800 is 8636611.

It is a super-2 number, since 2×116636800² = 27208286228480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116636809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918337 + ... + 918463.

It is an arithmetic number, because the mean of its divisors is an integer number (1770720).

Almost surely, 2^116636800 is an apocalyptic number.

116636800 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 116636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120).

116636800 is an abundant number, since it is smaller than the sum of its proper divisors (223341440).

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

116636800 is a wasteful number, since it uses less digits than its factorization.

116636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 116636800 is about 10799.8518508357. The cubic root of 116636800 is about 488.5907027691.

The spelling of 116636800 in words is "one hundred sixteen million, six hundred thirty-six thousand, eight hundred".