168912000 has 512 divisors, whose sum is σ = 687398400. Its totient is φ = 40550400.

The previous prime is 168911971. The next prime is 168912011. The reversal of 168912000 is 219861.

168912000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7343989 + ... + 7344011.

It is an arithmetic number, because the mean of its divisors is an integer number (1342575).

Almost surely, 2^168912000 is an apocalyptic number.

168912000 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 168912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343699200).

168912000 is an abundant number, since it is smaller than the sum of its proper divisors (518486400).

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

168912000 is a wasteful number, since it uses less digits than its factorization.

168912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 168912000 is about 12996.6149438998. The cubic root of 168912000 is about 552.7815017514.

It can be divided in two parts, 1689 and 12000, that added together give a square (13689 = 117²).

The spelling of 168912000 in words is "one hundred sixty-eight million, nine hundred twelve thousand".