4004676 has 72 divisors (see below), whose sum is σ = 11211200. Its totient is φ = 1197504.

The previous prime is 4004669. The next prime is 4004677. The reversal of 4004676 is 6764004.

4004676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4004677) 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, 20025 + ... + 20223.

Almost surely, 2^4004676 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 4004676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605600).

4004676 is an abundant number, since it is smaller than the sum of its proper divisors (7206524).

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

4004676 is a wasteful number, since it uses less digits than its factorization.

4004676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4004676 is about 2001.1686585593. The cubic root of 4004676 is about 158.8019368370.

The spelling of 4004676 in words is "four million, four thousand, six hundred seventy-six".