116683200 has 336 divisors, whose sum is σ = 442833760. Its totient is φ = 29859840.

The previous prime is 116683169. The next prime is 116683207. The reversal of 116683200 is 2386611.

It is a super-2 number, since 2×116683200² = 27229938324480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116683207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1598364 + ... + 1598436.

Almost surely, 2^116683200 is an apocalyptic number.

116683200 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 116683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221416880).

116683200 is an abundant number, since it is smaller than the sum of its proper divisors (326150560).

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

116683200 is a wasteful number, since it uses less digits than its factorization.

116683200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 116683200 is about 10801.9998148491. Note that the first 3 decimals coincide. The cubic root of 116683200 is about 488.6554839331.

The spelling of 116683200 in words is "one hundred sixteen million, six hundred eighty-three thousand, two hundred".