209768 has 16 divisors (see below), whose sum is σ = 423780. Its totient is φ = 96768.

The previous prime is 209767. The next prime is 209771. The reversal of 209768 is 867902.

209768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 209764 + 4 = 458^2 + 2^2 .

It is a super-2 number, since 2×209768² = 88005227648, which contains 22 as substring.

It is a plaindrome in base 11 and base 16.

It is not an unprimeable number, because it can be changed into a prime (209767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 905 + ... + 1112.

2²⁰⁹⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

209768 is an abundant number, since it is smaller than the sum of its proper divisors (214012).

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

209768 is a wasteful number, since it uses less digits than its factorization.

209768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 209768 is about 458.0043667914. The cubic root of 209768 is about 59.4173227336.

The spelling of 209768 in words is "two hundred nine thousand, seven hundred sixty-eight".