168338900 has 36 divisors (see below), whose sum is σ = 375176508. Its totient is φ = 65514240.

The previous prime is 168338899. The next prime is 168338921. The reversal of 168338900 is 9833861.

168338900 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1567504 + 166771396 = 1252^2 + 12914^2 .

168338900 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19049 + ... + 26448.

Almost surely, 2^168338900 is an apocalyptic number.

168338900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168338900 is an abundant number, since it is smaller than the sum of its proper divisors (206837608).

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

168338900 is a wasteful number, since it uses less digits than its factorization.

168338900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45548 (or 45541 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 168338900 is about 12974.5481616895. The cubic root of 168338900 is about 552.1556175755.

The spelling of 168338900 in words is "one hundred sixty-eight million, three hundred thirty-eight thousand, nine hundred".