5904144 has 80 divisors (see below), whose sum is σ = 17260800. Its totient is φ = 1931904.

The previous prime is 5904133. The next prime is 5904149. The reversal of 5904144 is 4414095.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5904149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34042 + ... + 34214.

It is an arithmetic number, because the mean of its divisors is an integer number (215760).

Almost surely, 2^5904144 is an apocalyptic number.

5904144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5904144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8630400).

5904144 is an abundant number, since it is smaller than the sum of its proper divisors (11356656).

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

5904144 is a wasteful number, since it uses less digits than its factorization.

5904144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5904144 is about 2429.8444394652. The cubic root of 5904144 is about 180.7391825623.

The spelling of 5904144 in words is "five million, nine hundred four thousand, one hundred forty-four".