4164008 has 16 divisors (see below), whose sum is σ = 7918560. Its totient is φ = 2052400.

The previous prime is 4164007. The next prime is 4164019. The reversal of 4164008 is 8004614.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4164007) 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, 3098 + ... + 4233.

It is an arithmetic number, because the mean of its divisors is an integer number (494910).

Almost surely, 2^4164008 is an apocalyptic number.

It is an amenable number.

4164008 is a deficient number, since it is larger than the sum of its proper divisors (3754552).

4164008 is a wasteful number, since it uses less digits than its factorization.

4164008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7408 (or 7404 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4164008 is about 2040.5901107278. The cubic root of 4164008 is about 160.8806646262.

Subtracting 4164008 from its reverse (8004614), we obtain a triangular number (3840606 = T₂₇₇₁).

The spelling of 4164008 in words is "four million, one hundred sixty-four thousand, eight".