4682664 has 128 divisors (see below), whose sum is σ = 15744000. Its totient is φ = 1259712.

The previous prime is 4682647. The next prime is 4682677. The reversal of 4682664 is 4662864.

It is a happy number.

4682664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28647 + ... + 28809.

It is an arithmetic number, because the mean of its divisors is an integer number (123000).

Almost surely, 2^4682664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4682664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872000).

4682664 is an abundant number, since it is smaller than the sum of its proper divisors (11061336).

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

4682664 is a wasteful number, since it uses less digits than its factorization.

4682664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 194 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4682664 is about 2163.9463948998. The cubic root of 4682664 is about 167.3006643348.

The spelling of 4682664 in words is "four million, six hundred eighty-two thousand, six hundred sixty-four".