208668200 has 96 divisors (see below), whose sum is σ = 553323960. Its totient is φ = 72499200.

The previous prime is 208668193. The next prime is 208668221. The reversal of 208668200 is 2866802.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 10252804 + 198415396 = 3202^2 + 14086^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41840 + ... + 46560.

Almost surely, 2^208668200 is an apocalyptic number.

208668200 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 208668200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276661980).

208668200 is an abundant number, since it is smaller than the sum of its proper divisors (344655760).

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

208668200 is a wasteful number, since it uses less digits than its factorization.

208668200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4767 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 208668200 is about 14445.3521936988. The cubic root of 208668200 is about 593.1330033900.

The spelling of 208668200 in words is "two hundred eight million, six hundred sixty-eight thousand, two hundred".