4656 has 20 divisors (see below), whose sum is σ = 12152. Its totient is φ = 1536.

The previous prime is 4651. The next prime is 4657. The reversal of 4656 is 6564.

4656 is nontrivially palindromic in base 11.

4656 is a nontrivial binomial coefficient, being equal to C(97, 2).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 6.

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 4656.

It is not an unprimeable number, because it can be changed into a prime (4651) 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, 1 + ... + 96.

2⁴⁶⁵⁶ is an apocalyptic number.

4656 is the 96-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6076).

4656 is an abundant number, since it is smaller than the sum of its proper divisors (7496).

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

4656 is a wasteful number, since it uses less digits than its factorization.

4656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 4656 is about 68.2348884369. The cubic root of 4656 is about 16.6982512183.

The spelling of 4656 in words is "four thousand, six hundred fifty-six".