168966000 has 400 divisors, whose sum is σ = 702187200. Its totient is φ = 38361600.

The previous prime is 168965971. The next prime is 168966001. The reversal of 168966000 is 669861.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168966001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1133926 + ... + 1134074.

It is an arithmetic number, because the mean of its divisors is an integer number (1755468).

Almost surely, 2^168966000 is an apocalyptic number.

168966000 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 168966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351093600).

168966000 is an abundant number, since it is smaller than the sum of its proper divisors (533221200).

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

168966000 is a wasteful number, since it uses less digits than its factorization.

168966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 168966000 is about 12998.6922419142. The cubic root of 168966000 is about 552.8404022848.

The spelling of 168966000 in words is "one hundred sixty-eight million, nine hundred sixty-six thousand".