168084000 has 576 divisors, whose sum is σ = 735920640. Its totient is φ = 35481600.

The previous prime is 168083941. The next prime is 168084001. The reversal of 168084000 is 480861.

168084000 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 not an unprimeable number, because it can be changed into a prime (168084001) 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 95 ways as a sum of consecutive naturals, for example, 5795986 + ... + 5796014.

It is an arithmetic number, because the mean of its divisors is an integer number (1277640).

Almost surely, 2^168084000 is an apocalyptic number.

168084000 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 168084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367960320).

168084000 is an abundant number, since it is smaller than the sum of its proper divisors (567836640).

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

168084000 is a wasteful number, since it uses less digits than its factorization.

168084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 168084000 is about 12964.7213622199. The cubic root of 168084000 is about 551.8767840923.

The spelling of 168084000 in words is "one hundred sixty-eight million, eighty-four thousand".