4664664 has 96 divisors (see below), whose sum is σ = 13871520. Its totient is φ = 1410048.

The previous prime is 4664659. The next prime is 4664669.

It is a happy number.

4664664 is a `hidden beast` number, since 4 + 6 + 646 + 6 + 4 = 666.

4664664 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4664659) and next prime (4664669).

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.

Its product of digits (82944) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45237 + ... + 45339.

It is an arithmetic number, because the mean of its divisors is an integer number (144495).

Almost surely, 2^4664664 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 4664664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935760).

4664664 is an abundant number, since it is smaller than the sum of its proper divisors (9206856).

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

4664664 is a wasteful number, since it uses less digits than its factorization.

4664664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 162 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 4664664 is about 2159.7833224655. The cubic root of 4664664 is about 167.0860230674.

The spelling of 4664664 in words is "four million, six hundred sixty-four thousand, six hundred sixty-four".