5785584 has 80 divisors (see below), whose sum is σ = 17403648. Its totient is φ = 1622016.

The previous prime is 5785553. The next prime is 5785589. The reversal of 5785584 is 4855875.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a d-powerful number, because it can be written as 5³ + 7⁸ + 8³ + 5³ + 5⁵ + 8³ + 4⁷ .

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5785589) 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 15 ways as a sum of consecutive naturals, for example, 22384 + ... + 22640.

Almost surely, 2^5785584 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 5785584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701824).

5785584 is an abundant number, since it is smaller than the sum of its proper divisors (11618064).

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

5785584 is a wasteful number, since it uses less digits than its factorization.

5785584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its digits is 224000, while the sum is 42.

The square root of 5785584 is about 2405.3240945868. The cubic root of 5785584 is about 179.5211966392.

The spelling of 5785584 in words is "five million, seven hundred eighty-five thousand, five hundred eighty-four".