4004064 has 36 divisors (see below), whose sum is σ = 11387376. Its totient is φ = 1334592.

The previous prime is 4004057. The next prime is 4004069. The reversal of 4004064 is 4604004.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6664 + ... + 7239.

It is an arithmetic number, because the mean of its divisors is an integer number (316316).

Almost surely, 2^4004064 is an apocalyptic number.

It is an amenable number.

4004064 is an abundant number, since it is smaller than the sum of its proper divisors (7383312).

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

4004064 is a wasteful number, since it uses less digits than its factorization.

4004064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13919 (or 13908 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4004064 is about 2001.0157420670. The cubic root of 4004064 is about 158.7938469827.

Adding to 4004064 its reverse (4604004), we get a palindrome (8608068).

It can be divided in two parts, 40040 and 64, that added together give a palindrome (40104).

The spelling of 4004064 in words is "four million, four thousand, sixty-four", and thus it is an eban number.