208081008 has 160 divisors (see below), whose sum is σ = 637459200. Its totient is φ = 64800000.

The previous prime is 208081001. The next prime is 208081009. The reversal of 208081008 is 800180802.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208081001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 828883 + ... + 829133.

It is an arithmetic number, because the mean of its divisors is an integer number (3984120).

Almost surely, 2^208081008 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 208081008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729600).

208081008 is an abundant number, since it is smaller than the sum of its proper divisors (429378192).

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

208081008 is a wasteful number, since it uses less digits than its factorization.

208081008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 208081008 is about 14425.0132755571. The cubic root of 208081008 is about 592.5761222498.

The spelling of 208081008 in words is "two hundred eight million, eighty-one thousand, eight".