• 208 can be written using four 4's:

208 has 10 divisors (see below), whose sum is σ = 434. Its totient is φ = 96.

The previous prime is 199. The next prime is 211. The reversal of 208 is 802.

It is a happy number.

208 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 144 + 64 = 12^2 + 8^2 .

It is a tetranacci number.

208 is an undulating number in base 5.

208 is a nontrivial repdigit in base 15.

It is a plaindrome in base 11 and base 15.

It is a nialpdrome in base 4, base 6, base 8, base 15 and base 16.

It is a zygodrome in base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 194 and 203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10 + ... + 22.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217).

208 is an abundant number, since it is smaller than the sum of its proper divisors (226).

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

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

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

The sum of its prime factors is 21 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 208 is about 14.4222051019. The cubic root of 208 is about 5.9249921368.

Multiplying 208 by its sum of digits (10), we get a triangular number (2080 = T_{64}).

It can be divided in two parts, 20 and 8, that added together give a triangular number (28 = T_{7}).

The spelling of 208 in words is "two hundred eight", and thus it is an aban number.

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