208068224 has 64 divisors (see below), whose sum is σ = 510195840. Its totient is φ = 82308096.

The previous prime is 208068199. The next prime is 208068227. The reversal of 208068224 is 422860802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (208068227) 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 7 ways as a sum of consecutive naturals, for example, 2717 + ... + 20579.

It is an arithmetic number, because the mean of its divisors is an integer number (7971810).

Almost surely, 2^208068224 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 208068224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255097920).

208068224 is an abundant number, since it is smaller than the sum of its proper divisors (302127616).

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

208068224 is a wasteful number, since it uses less digits than its factorization.

208068224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17897 (or 17885 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 208068224 is about 14424.5701495746. The cubic root of 208068224 is about 592.5639865142.

The spelling of 208068224 in words is "two hundred eight million, sixty-eight thousand, two hundred twenty-four".