4004664 has 16 divisors (see below), whose sum is σ = 10011720. Its totient is φ = 1334880.

The previous prime is 4004659. The next prime is 4004669. The reversal of 4004664 is 4664004.

4004664 = 90² + 91² + ... + 233².

It is an interprime number because it is at equal distance from previous prime (4004659) and next prime (4004669).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 166861 = 4004664 / (4 + 0 + 0 + 4 + 6 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004669) 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, 83407 + ... + 83454.

Almost surely, 2^4004664 is an apocalyptic number.

It is an amenable number.

4004664 is an abundant number, since it is smaller than the sum of its proper divisors (6007056).

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

4004664 is a wasteful number, since it uses less digits than its factorization.

4004664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166870 (or 166866 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4004664 is about 2001.1656603090. The cubic root of 4004664 is about 158.8017782203.

Adding to 4004664 its reverse (4664004), we get a palindrome (8668668).

The spelling of 4004664 in words is "four million, four thousand, six hundred sixty-four".