208016 has 10 divisors (see below), whose sum is σ = 403062. Its totient is φ = 104000.

The previous prime is 208009. The next prime is 208037. The reversal of 208016 is 610802.

It can be written as a sum of positive squares in only one way, i.e., 115600 + 92416 = 340^2 + 304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 207985 and 208003.

It is an unprimeable number.

208016 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, 6485 + ... + 6516.

2²⁰⁸⁰¹⁶ is an apocalyptic number.

It is an amenable number.

208016 is a deficient number, since it is larger than the sum of its proper divisors (195046).

208016 is a wasteful number, since it uses less digits than its factorization.

208016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13009 (or 13003 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 208016 is about 456.0877108627. The cubic root of 208016 is about 59.2514405579.

Adding to 208016 its reverse (610802), we get a palindrome (818818).

The spelling of 208016 in words is "two hundred eight thousand, sixteen".