208896000 has 256 divisors, whose sum is σ = 736089120. Its totient is φ = 52428800.

The previous prime is 208895989. The next prime is 208896007. The reversal of 208896000 is 698802.

It is a tau number, because it is divible by the number of its divisors (256).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208896007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12287992 + ... + 12288008.

Almost surely, 2^208896000 is an apocalyptic number.

208896000 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 208896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368044560).

208896000 is an abundant number, since it is smaller than the sum of its proper divisors (527193120).

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

208896000 is an frugal number, since it uses more digits than its factorization.

208896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 208896000 is about 14453.2349320144. The cubic root of 208896000 is about 593.3487630826.

The spelling of 208896000 in words is "two hundred eight million, eight hundred ninety-six thousand".