208824064 has 36 divisors (see below), whose sum is σ = 422740080. Its totient is φ = 102932480.

The previous prime is 208824047. The next prime is 208824071. The reversal of 208824064 is 460428802.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12432 + ... + 23920.

It is an arithmetic number, because the mean of its divisors is an integer number (11742780).

Almost surely, 2^208824064 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 208824064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211370040).

208824064 is an abundant number, since it is smaller than the sum of its proper divisors (213916016).

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

208824064 is an equidigital number, since it uses as much as digits as its factorization.

208824064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11576 (or 11562 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 208824064 is about 14450.7461399057. The cubic root of 208824064 is about 593.2806461934.

The spelling of 208824064 in words is "two hundred eight million, eight hundred twenty-four thousand, sixty-four".