5784224 has 48 divisors (see below), whose sum is σ = 12337920. Its totient is φ = 2661120.

The previous prime is 5784223. The next prime is 5784257. The reversal of 5784224 is 4224875.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 5⁶ + 7³ + 8² + 4⁵ + 2¹⁹ + 2²² + 4¹⁰ .

It is not an unprimeable number, because it can be changed into a prime (5784221) 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, 21209 + ... + 21479.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^5784224 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 5784224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960).

5784224 is an abundant number, since it is smaller than the sum of its proper divisors (6553696).

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

5784224 is a wasteful number, since it uses less digits than its factorization.

5784224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its digits is 17920, while the sum is 32.

The square root of 5784224 is about 2405.0413717855. The cubic root of 5784224 is about 179.5071290325.

The spelling of 5784224 in words is "five million, seven hundred eighty-four thousand, two hundred twenty-four".