4004688 has 20 divisors (see below), whose sum is σ = 10345568. Its totient is φ = 1334880.

The previous prime is 4004683. The next prime is 4004699. The reversal of 4004688 is 8864004.

4004688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004681) 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, 41668 + ... + 41763.

Almost surely, 2^4004688 is an apocalyptic number.

4004688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4004688 is an abundant number, since it is smaller than the sum of its proper divisors (6340880).

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

4004688 is a wasteful number, since it uses less digits than its factorization.

4004688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83442 (or 83436 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4004688 is about 2001.1716568051. The cubic root of 4004688 is about 158.8020954534.

The spelling of 4004688 in words is "four million, four thousand, six hundred eighty-eight".