5579904 has 64 divisors (see below), whose sum is σ = 16181280. Its totient is φ = 1689600.

The previous prime is 5579897. The next prime is 5579909. The reversal of 5579904 is 4099755.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5579904² = 62270657298432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5579909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3564 + ... + 4884.

Almost surely, 2^5579904 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 5579904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090640).

5579904 is an abundant number, since it is smaller than the sum of its proper divisors (10601376).

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

5579904 is a wasteful number, since it uses less digits than its factorization.

5579904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 5579904 is about 2362.1820420958. The cubic root of 5579904 is about 177.3681252833.

The spelling of 5579904 in words is "five million, five hundred seventy-nine thousand, nine hundred four".