168336168 has 288 divisors, whose sum is σ = 584136000. Its totient is φ = 40360320.

The previous prime is 168336139. The next prime is 168336211. The reversal of 168336168 is 861633861.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (124416) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12948930 + ... + 12948942.

It is an arithmetic number, because the mean of its divisors is an integer number (2028250).

Almost surely, 2^168336168 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 168336168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292068000).

168336168 is an abundant number, since it is smaller than the sum of its proper divisors (415799832).

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

168336168 is a wasteful number, since it uses less digits than its factorization.

168336168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 36 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 168336168 is about 12974.4428782125. The cubic root of 168336168 is about 552.1526305509.

Multiplying 168336168 by its sum of digits (42), we get a square (7070119056 = 84084²).

168336168 divided by its sum of digits (42) gives a palindrome (4008004).

The spelling of 168336168 in words is "one hundred sixty-eight million, three hundred thirty-six thousand, one hundred sixty-eight".