168982200 has 336 divisors, whose sum is σ = 630223800. Its totient is φ = 41990400.

The previous prime is 168982199. The next prime is 168982207. The reversal of 168982200 is 2289861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168982207) 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 83 ways as a sum of consecutive naturals, for example, 2770170 + ... + 2770230.

Almost surely, 2^168982200 is an apocalyptic number.

168982200 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 168982200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315111900).

168982200 is an abundant number, since it is smaller than the sum of its proper divisors (461241600).

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

168982200 is a wasteful number, since it uses less digits than its factorization.

168982200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 168982200 is about 12999.3153665876. The cubic root of 168982200 is about 552.8580699977.

The spelling of 168982200 in words is "one hundred sixty-eight million, nine hundred eighty-two thousand, two hundred".