168000168 has 64 divisors (see below), whose sum is σ = 484801920. Its totient is φ = 47520000.

The previous prime is 168000167. The next prime is 168000179. The reversal of 168000168 is 861000861.

It is not an unprimeable number, because it can be changed into a prime (168000167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12018 + ... + 21918.

It is an arithmetic number, because the mean of its divisors is an integer number (7575030).

Almost surely, 2^168000168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168000168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242400960).

168000168 is an abundant number, since it is smaller than the sum of its proper divisors (316801752).

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

168000168 is a wasteful number, since it uses less digits than its factorization.

168000168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10018 (or 10014 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 168000168 is about 12961.4878775548. The cubic root of 168000168 is about 551.7850192044.

The spelling of 168000168 in words is "one hundred sixty-eight million, one hundred sixty-eight", and thus it is an aban number.