168226800 has 180 divisors, whose sum is σ = 627087096. Its totient is φ = 38438400.

The previous prime is 168226769. The next prime is 168226819. The reversal of 168226800 is 8622861.

168226800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57370 + ... + 60230.

Almost surely, 2^168226800 is an apocalyptic number.

168226800 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 168226800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313543548).

168226800 is an abundant number, since it is smaller than the sum of its proper divisors (458860296).

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

168226800 is a wasteful number, since it uses less digits than its factorization.

168226800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 168226800 is about 12970.2274459625. The cubic root of 168226800 is about 552.0330267994.

It can be divided in two parts, 1682 and 26800, that added together give a palindrome (28482).

The spelling of 168226800 in words is "one hundred sixty-eight million, two hundred twenty-six thousand, eight hundred".