5586560 has 128 divisors (see below), whose sum is σ = 16156800. Its totient is φ = 1806336.

The previous prime is 5586487. The next prime is 5586569. The reversal of 5586560 is 656855.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5586560.

It is not an unprimeable number, because it can be changed into a prime (5586569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129899 + ... + 129941.

It is an arithmetic number, because the mean of its divisors is an integer number (126225).

Almost surely, 2^5586560 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 5586560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078400).

5586560 is an abundant number, since it is smaller than the sum of its proper divisors (10570240).

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

5586560 is a wasteful number, since it uses less digits than its factorization.

5586560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The square root of 5586560 is about 2363.5904890653. The cubic root of 5586560 is about 177.4386219048.

The spelling of 5586560 in words is "five million, five hundred eighty-six thousand, five hundred sixty".