208288368 has 80 divisors (see below), whose sum is σ = 623888640. Its totient is φ = 66407616.

The previous prime is 208288321. The next prime is 208288387. The reversal of 208288368 is 863882802.

208288368 is a `hidden beast` number, since 2 + 0 + 8 + 288 + 368 = 666.

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 15 ways as a sum of consecutive naturals, for example, 546 + ... + 20417.

It is an arithmetic number, because the mean of its divisors is an integer number (7798608).

Almost surely, 2^208288368 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 208288368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311944320).

208288368 is an abundant number, since it is smaller than the sum of its proper divisors (415600272).

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

208288368 is a wasteful number, since it uses less digits than its factorization.

208288368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21003 (or 20991 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 208288368 is about 14432.1990008453. The cubic root of 208288368 is about 592.7728978414.

The spelling of 208288368 in words is "two hundred eight million, two hundred eighty-eight thousand, three hundred sixty-eight".