168038800 has 30 divisors (see below), whose sum is σ = 403714178. Its totient is φ = 67215360.

The previous prime is 168038777. The next prime is 168038803. The reversal of 168038800 is 8830861.

It can be written as a sum of positive squares in 3 ways, for example, as 37896336 + 130142464 = 6156^2 + 11408^2 .

It is not an unprimeable number, because it can be changed into a prime (168038803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 209649 + ... + 210448.

Almost surely, 2^168038800 is an apocalyptic number.

168038800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168038800 is an abundant number, since it is smaller than the sum of its proper divisors (235675378).

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

168038800 is a wasteful number, since it uses less digits than its factorization.

168038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420115 (or 420104 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 168038800 is about 12962.9780529013. The cubic root of 168038800 is about 551.8273106803.

The spelling of 168038800 in words is "one hundred sixty-eight million, thirty-eight thousand, eight hundred".