4660 has 12 divisors (see below), whose sum is σ = 9828. Its totient is φ = 1856.

The previous prime is 4657. The next prime is 4663. The reversal of 4660 is 664.

4660 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (4657) and next prime (4663).

It can be written as a sum of positive squares in 2 ways, for example, as 1296 + 3364 = 36^2 + 58^2 .

It is a plaindrome in base 11, base 14, base 15 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4660.

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, 97 + ... + 136.

It is an arithmetic number, because the mean of its divisors is an integer number (819).

2⁴⁶⁶⁰ is an apocalyptic number.

It is an amenable number.

4660 is an abundant number, since it is smaller than the sum of its proper divisors (5168).

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 (4914).

4660 is a wasteful number, since it uses less digits than its factorization.

4660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4660 is about 68.2641926635. The cubic root of 4660 is about 16.7030317084.

The spelling of 4660 in words is "four thousand, six hundred sixty".