208008 has 48 divisors (see below), whose sum is σ = 589680. Its totient is φ = 68688.

The previous prime is 208003. The next prime is 208009. The reversal of 208008 is 800802.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (208001) by changing a digit.

208008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1891 + ... + 1997.

It is an arithmetic number, because the mean of its divisors is an integer number (12285).

2²⁰⁸⁰⁰⁸ 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 208008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294840).

208008 is an abundant number, since it is smaller than the sum of its proper divisors (381672).

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

208008 is a wasteful number, since it uses less digits than its factorization.

208008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 208008 is about 456.0789405355. The cubic root of 208008 is about 59.2506809728.

The spelling of 208008 in words is "two hundred eight thousand, eight".