5584160 has 48 divisors (see below), whose sum is σ = 13975416. Its totient is φ = 2101248.

The previous prime is 5584141. The next prime is 5584169. The reversal of 5584160 is 614855.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5071504 + 512656 = 2252^2 + 716^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5584169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1694 + ... + 3746.

Almost surely, 2^5584160 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 5584160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6987708).

5584160 is an abundant number, since it is smaller than the sum of its proper divisors (8391256).

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

5584160 is a wasteful number, since it uses less digits than its factorization.

5584160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 5584160 is about 2363.0827323647. The cubic root of 5584160 is about 177.4132089082.

The spelling of 5584160 in words is "five million, five hundred eighty-four thousand, one hundred sixty".