208668564 has 144 divisors (see below), whose sum is σ = 618042880. Its totient is φ = 58786560.

The previous prime is 208668563. The next prime is 208668571. The reversal of 208668564 is 465866802.

208668564 is a `hidden beast` number, since 2 + 0 + 86 + 6 + 8 + 564 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208668563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275274 + ... + 276030.

Almost surely, 2^208668564 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 208668564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309021440).

208668564 is an abundant number, since it is smaller than the sum of its proper divisors (409374316).

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

208668564 is a wasteful number, since it uses less digits than its factorization.

208668564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 208668564 is about 14445.3647929016. The cubic root of 208668564 is about 593.1333482761.

The spelling of 208668564 in words is "two hundred eight million, six hundred sixty-eight thousand, five hundred sixty-four".