208117008 has 240 divisors, whose sum is σ = 674796096. Its totient is φ = 59304960.

The previous prime is 208117003. The next prime is 208117027. The reversal of 208117008 is 800711802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208117003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3106191 + ... + 3106257.

Almost surely, 2^208117008 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 208117008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337398048).

208117008 is an abundant number, since it is smaller than the sum of its proper divisors (466679088).

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

208117008 is a wasteful number, since it uses less digits than its factorization.

208117008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 208117008 is about 14426.2610540639. The cubic root of 208117008 is about 592.6102940538.

The spelling of 208117008 in words is "two hundred eight million, one hundred seventeen thousand, eight".