17668 has 12 divisors (see below), whose sum is σ = 35392. Its totient is φ = 7560.

The previous prime is 17659. The next prime is 17669. The reversal of 17668 is 86671.

17668 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 631 = 17668 / (1 + 7 + 6 + 6 + 8).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (17669) by changing a digit.

17668 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 288 + ... + 343.

2¹⁷⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

17668 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.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696).

17668 is a wasteful number, since it uses less digits than its factorization.

17668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 640 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 17668 is about 132.9210291865. The cubic root of 17668 is about 26.0452859681.

The spelling of 17668 in words is "seventeen thousand, six hundred sixty-eight".