208856960 has 96 divisors (see below), whose sum is σ = 540940680. Its totient is φ = 77076480.

The previous prime is 208856939. The next prime is 208856983. The reversal of 208856960 is 69658802.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 107195 + ... + 109125.

Almost surely, 2^208856960 is an apocalyptic number.

208856960 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 208856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270470340).

208856960 is an abundant number, since it is smaller than the sum of its proper divisors (332083720).

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

208856960 is a wasteful number, since it uses less digits than its factorization.

208856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 208856960 is about 14451.8843062073. The cubic root of 208856960 is about 593.3117976725.

The spelling of 208856960 in words is "two hundred eight million, eight hundred fifty-six thousand, nine hundred sixty".