166208 has 42 divisors (see below), whose sum is σ = 390906. Its totient is φ = 69888.

The previous prime is 166207. The next prime is 166219. The reversal of 166208 is 802661.

It can be written as a sum of positive squares in only one way, i.e., 153664 + 12544 = 392^2 + 112^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 166208.

It is not an unprimeable number, because it can be changed into a prime (166207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3110 + ... + 3162.

2¹⁶⁶²⁰⁸ 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 166208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195453).

166208 is an abundant number, since it is smaller than the sum of its proper divisors (224698).

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

166208 is an equidigital number, since it uses as much as digits as its factorization.

166208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 166208 is about 407.6861537997. The cubic root of 166208 is about 54.9815916356.

Adding to 166208 its reverse (802661), we get a palindrome (968869).

The spelling of 166208 in words is "one hundred sixty-six thousand, two hundred eight".