168008000 has 56 divisors (see below), whose sum is σ = 416091624. Its totient is φ = 67200000.

The previous prime is 168007999. The next prime is 168008021. The reversal of 168008000 is 800861.

168008000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 21307456 + 146700544 = 4616^2 + 12112^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2501 + ... + 18500.

Almost surely, 2^168008000 is an apocalyptic number.

168008000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168008000 is an abundant number, since it is smaller than the sum of its proper divisors (248083624).

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

168008000 is an equidigital number, since it uses as much as digits as its factorization.

168008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21028 (or 21008 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 168008000 is about 12961.7899998418. The cubic root of 168008000 is about 551.7935936267.

Adding to 168008000 its reverse (800861), we get a palindrome (168808861).

The spelling of 168008000 in words is "one hundred sixty-eight million, eight thousand".