5779584 has 96 divisors (see below), whose sum is σ = 17304300. Its totient is φ = 1849344.

The previous prime is 5779583. The next prime is 5779607. The reversal of 5779584 is 4859775.

It can be written as a sum of positive squares in 2 ways, for example, as 5419584 + 360000 = 2328^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5779583) 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, 33322 + ... + 33494.

Almost surely, 2^5779584 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 5779584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8652150).

5779584 is an abundant number, since it is smaller than the sum of its proper divisors (11524716).

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

5779584 is a wasteful number, since it uses less digits than its factorization.

5779584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 5779584 is about 2404.0765378831. The cubic root of 5779584 is about 179.4591170668.

The spelling of 5779584 in words is "five million, seven hundred seventy-nine thousand, five hundred eighty-four".