4004656 has 20 divisors (see below), whose sum is σ = 8215992. Its totient is φ = 1884416.

The previous prime is 4004653. The next prime is 4004659. The reversal of 4004656 is 6564004.

It is a happy number.

4004656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4004653) and next prime (4004659).

It is a self number, because there is not a number n which added to its sum of digits gives 4004656.

It is not an unprimeable number, because it can be changed into a prime (4004653) 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 3 ways as a sum of consecutive naturals, for example, 7090 + ... + 7633.

Almost surely, 2^4004656 is an apocalyptic number.

It is an amenable number.

4004656 is an abundant number, since it is smaller than the sum of its proper divisors (4211336).

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

4004656 is a wasteful number, since it uses less digits than its factorization.

4004656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14748 (or 14742 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4004656 is about 2001.1636614730. The cubic root of 4004656 is about 158.8016724757.

The spelling of 4004656 in words is "four million, four thousand, six hundred fifty-six".