6208 has 14 divisors (see below), whose sum is σ = 12446. Its totient is φ = 3072.

The previous prime is 6203. The next prime is 6211. The reversal of 6208 is 8026.

It can be written as a sum of positive squares in only one way, i.e., 5184 + 1024 = 72^2 + 32^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 6191 and 6200.

It is not an unprimeable number, because it can be changed into a prime (6203) by changing a digit.

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, 16 + ... + 112.

It is an arithmetic number, because the mean of its divisors is an integer number (889).

2⁶²⁰⁸ 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 6208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223).

6208 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

6208 is an equidigital number, since it uses as much as digits as its factorization.

6208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 6208 is about 78.7908624144. The cubic root of 6208 is about 18.3788035688.

The spelling of 6208 in words is "six thousand, two hundred eight".