5584768 has 64 divisors (see below), whose sum is σ = 13317120. Its totient is φ = 2280960.

The previous prime is 5584757. The next prime is 5584771. The reversal of 5584768 is 8674855.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5584768² = 62379267227648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20473 + ... + 20743.

It is an arithmetic number, because the mean of its divisors is an integer number (208080).

Almost surely, 2^5584768 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 5584768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658560).

5584768 is an abundant number, since it is smaller than the sum of its proper divisors (7732352).

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

5584768 is a wasteful number, since it uses less digits than its factorization.

5584768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 303 counting only the distinct ones).

The product of its digits is 268800, while the sum is 43.

The square root of 5584768 is about 2363.2113743802. The cubic root of 5584768 is about 177.4196475559.

The spelling of 5584768 in words is "five million, five hundred eighty-four thousand, seven hundred sixty-eight".