5582304 has 192 divisors, whose sum is σ = 20321280. Its totient is φ = 1451520.

The previous prime is 5582299. The next prime is 5582351. The reversal of 5582304 is 4032855.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 78589 + ... + 78659.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 2^5582304 is an apocalyptic number.

5582304 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 5582304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160640).

5582304 is an abundant number, since it is smaller than the sum of its proper divisors (14738976).

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

5582304 is a wasteful number, since it uses less digits than its factorization.

5582304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5582304 is about 2362.6899923604. The cubic root of 5582304 is about 177.3935511977.

It can be divided in two parts, 5582 and 304, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 5582304 in words is "five million, five hundred eighty-two thousand, three hundred four".