208064 has 14 divisors (see below), whose sum is σ = 413004. Its totient is φ = 104000.

The previous prime is 208057. The next prime is 208067. The reversal of 208064 is 460802.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 208064.

It is not an unprimeable number, because it can be changed into a prime (208067) by changing a digit.

208064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1562 + ... + 1689.

2²⁰⁸⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

208064 is a deficient number, since it is larger than the sum of its proper divisors (204940).

208064 is an equidigital number, since it uses as much as digits as its factorization.

208064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 208064 is about 456.1403292847. The cubic root of 208064 is about 59.2559976600.

Adding to 208064 its reverse (460802), we get a palindrome (668866).

The spelling of 208064 in words is "two hundred eight thousand, sixty-four".