168342336 has 168 divisors, whose sum is σ = 512576064. Its totient is φ = 52715520.

The previous prime is 168342331. The next prime is 168342353. The reversal of 168342336 is 633243861.

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

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

Its product of digits (62208) is a multiple of the sum of its prime divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 168342336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168342331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1284991 + ... + 1285121.

It is an arithmetic number, because the mean of its divisors is an integer number (3051048).

Almost surely, 2^168342336 is an apocalyptic number.

168342336 is a gapful number since it is divisible by the number (16) 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 168342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256288032).

168342336 is an abundant number, since it is smaller than the sum of its proper divisors (344233728).

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

168342336 is a wasteful number, since it uses less digits than its factorization.

168342336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 256 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 168342336 is about 12974.6805741028. The cubic root of 168342336 is about 552.1593742706.

The spelling of 168342336 in words is "one hundred sixty-eight million, three hundred forty-two thousand, three hundred thirty-six".