208860768 has 120 divisors (see below), whose sum is σ = 646735320. Its totient is φ = 65940480.

The previous prime is 208860763. The next prime is 208860781. The reversal of 208860768 is 867068802.

208860768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×208860768³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208860763) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47128 + ... + 51368.

It is an arithmetic number, because the mean of its divisors is an integer number (5389461).

Almost surely, 2^208860768 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 208860768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323367660).

208860768 is an abundant number, since it is smaller than the sum of its proper divisors (437874552).

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

208860768 is a wasteful number, since it uses less digits than its factorization.

208860768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4282 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 208860768 is about 14452.0160531325. The cubic root of 208860768 is about 593.3154035177.

It can be divided in two parts, 208860 and 768, that added together give a triangular number (209628 = T₆₄₇).

The spelling of 208860768 in words is "two hundred eight million, eight hundred sixty thousand, seven hundred sixty-eight".