168168408 has 64 divisors (see below), whose sum is σ = 431740800. Its totient is φ = 54566400.

The previous prime is 168168383. The next prime is 168168431. The reversal of 168168408 is 804861861.

168168408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×168168408² = 56561226898508928, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 168168408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159483 + ... + 160533.

It is an arithmetic number, because the mean of its divisors is an integer number (6745950).

Almost surely, 2^168168408 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 168168408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215870400).

168168408 is an abundant number, since it is smaller than the sum of its proper divisors (263572392).

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

168168408 is a wasteful number, since it uses less digits than its factorization.

168168408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 168168408 is about 12967.9762492071. The cubic root of 168168408 is about 551.9691486643.

The spelling of 168168408 in words is "one hundred sixty-eight million, one hundred sixty-eight thousand, four hundred eight".