208338816 has 128 divisors (see below), whose sum is σ = 637459200. Its totient is φ = 59056128.

The previous prime is 208338787. The next prime is 208338833. The reversal of 208338816 is 618833802.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480936 + ... + 481368.

It is an arithmetic number, because the mean of its divisors is an integer number (4980150).

Almost surely, 2^208338816 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 208338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729600).

208338816 is an abundant number, since it is smaller than the sum of its proper divisors (429120384).

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

208338816 is a wasteful number, since it uses less digits than its factorization.

208338816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 208338816 is about 14433.9466536357. The cubic root of 208338816 is about 592.8207510388.

The spelling of 208338816 in words is "two hundred eight million, three hundred thirty-eight thousand, eight hundred sixteen".