5005904 has 40 divisors (see below), whose sum is σ = 10332672. Its totient is φ = 2344320.

The previous prime is 5005883. The next prime is 5005907. The reversal of 5005904 is 4095005.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 5005904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22337 + ... + 22559.

Almost surely, 2^5005904 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 5005904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166336).

5005904 is an abundant number, since it is smaller than the sum of its proper divisors (5326768).

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

5005904 is a wasteful number, since it uses less digits than its factorization.

5005904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 5005904 is about 2237.3877625481. The cubic root of 5005904 is about 171.0648728472.

The spelling of 5005904 in words is "five million, five thousand, nine hundred four".