4668 has 12 divisors (see below), whose sum is σ = 10920. Its totient is φ = 1552.

The previous prime is 4663. The next prime is 4673. The reversal of 4668 is 8664.

It is an interprime number because it is at equal distance from previous prime (4663) and next prime (4673).

It is a tau number, because it is divible by the number of its divisors (12).

It is an Ulam number.

It is a plaindrome in base 10 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4663) by changing a digit.

4668 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, 183 + ... + 206.

It is an arithmetic number, because the mean of its divisors is an integer number (910).

2⁴⁶⁶⁸ is an apocalyptic number.

It is an amenable number.

4668 is an abundant number, since it is smaller than the sum of its proper divisors (6252).

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 (5460).

4668 is a wasteful number, since it uses less digits than its factorization.

4668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 394 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 4668 is about 68.3227634102. The cubic root of 4668 is about 16.7125844882.

It can be divided in two parts, 466 and 8, that added together give a palindrome (474).

The spelling of 4668 in words is "four thousand, six hundred sixty-eight".