168008 has 8 divisors (see below), whose sum is σ = 315030. Its totient is φ = 84000.

The previous prime is 167987. The next prime is 168013. The reversal of 168008 is 800861.

It can be written as a sum of positive squares in only one way, i.e., 158404 + 9604 = 398^2 + 98^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10493 + ... + 10508.

2¹⁶⁸⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

168008 is a deficient number, since it is larger than the sum of its proper divisors (147022).

168008 is a wasteful number, since it uses less digits than its factorization.

168008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21007 (or 21003 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 168008 is about 409.8877895229. The cubic root of 168008 is about 55.1793593627.

Adding to 168008 its reverse (800861), we get a palindrome (968869).

The spelling of 168008 in words is "one hundred sixty-eight thousand, eight".