4004136 has 48 divisors (see below), whose sum is σ = 11419200. Its totient is φ = 1264032.

The previous prime is 4004089. The next prime is 4004137. The reversal of 4004136 is 6314004.

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

It is not an unprimeable number, because it can be changed into a prime (4004137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96 + ... + 2831.

It is an arithmetic number, because the mean of its divisors is an integer number (237900).

Almost surely, 2^4004136 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 4004136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5709600).

4004136 is an abundant number, since it is smaller than the sum of its proper divisors (7415064).

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

4004136 is a wasteful number, since it uses less digits than its factorization.

4004136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4004136 is about 2001.0337328491. The cubic root of 4004136 is about 158.7947987730.

The spelling of 4004136 in words is "four million, four thousand, one hundred thirty-six".