208891200 has 168 divisors, whose sum is σ = 783368512. Its totient is φ = 47738880.

The previous prime is 208891181. The next prime is 208891213. The reversal of 208891200 is 2198802.

208891200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 30492 + ... + 36708.

Almost surely, 2^208891200 is an apocalyptic number.

208891200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391684256).

208891200 is an abundant number, since it is smaller than the sum of its proper divisors (574477312).

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

208891200 is a wasteful number, since it uses less digits than its factorization.

208891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6249 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 208891200 is about 14453.0688782694. The cubic root of 208891200 is about 593.3442184035.

The spelling of 208891200 in words is "two hundred eight million, eight hundred ninety-one thousand, two hundred".