4664 has 16 divisors (see below), whose sum is σ = 9720. Its totient is φ = 2080.

The previous prime is 4663. The next prime is 4673.

4664 is nontrivially palindromic in base 10.

It is a plaindrome in base 15 and base 16.

It is a nialpdrome in base 6.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62 + ... + 114.

4664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860).

4664 is an abundant number, since it is smaller than the sum of its proper divisors (5056).

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

4664 is a wasteful number, since it uses less digits than its factorization.

4664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 66 counting only the distinct ones).

The product of its digits is 576, while the sum is 20.

The square root of 4664 is about 68.2934843159. The cubic root of 4664 is about 16.7078094638.

The spelling of 4664 in words is "four thousand, six hundred sixty-four".