208845216 has 120 divisors (see below), whose sum is σ = 618835140. Its totient is φ = 69092352.

The previous prime is 208845193. The next prime is 208845223. The reversal of 208845216 is 612548802.

It can be written as a sum of positive squares in 2 ways, for example, as 148937616 + 59907600 = 12204^2 + 7740^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 510420 + ... + 510828.

Almost surely, 2^208845216 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 208845216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309417570).

208845216 is an abundant number, since it is smaller than the sum of its proper divisors (409989924).

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

208845216 is a wasteful number, since it uses less digits than its factorization.

208845216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 208845216 is about 14451.4779866974. The cubic root of 208845216 is about 593.3006768487.

The spelling of 208845216 in words is "two hundred eight million, eight hundred forty-five thousand, two hundred sixteen".