208880000 has 160 divisors (see below), whose sum is σ = 595871760. Its totient is φ = 71424000.

The previous prime is 208879999. The next prime is 208880017. The reversal of 208880000 is 88802.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 559814 + ... + 560186.

Almost surely, 2^208880000 is an apocalyptic number.

208880000 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 208880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297935880).

208880000 is an abundant number, since it is smaller than the sum of its proper divisors (386991760).

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

208880000 is an frugal number, since it uses more digits than its factorization.

208880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 208880000 is about 14452.6814121117. The cubic root of 208880000 is about 593.3336138814. Note that the first 3 decimals are identical.

The spelling of 208880000 in words is "two hundred eight million, eight hundred eighty thousand".