5383584 has 120 divisors (see below), whose sum is σ = 16587648. Its totient is φ = 1710720.

The previous prime is 5383583. The next prime is 5383591. The reversal of 5383584 is 4853835.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (57600) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5383583) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80319 + ... + 80385.

Almost surely, 2^5383584 is an apocalyptic number.

5383584 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 5383584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8293824).

5383584 is an abundant number, since it is smaller than the sum of its proper divisors (11204064).

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

5383584 is a wasteful number, since it uses less digits than its factorization.

5383584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5383584 is about 2320.2551583824. The cubic root of 5383584 is about 175.2631035587.

The spelling of 5383584 in words is "five million, three hundred eighty-three thousand, five hundred eighty-four".