5506560 has 120 divisors (see below), whose sum is σ = 19150560. Its totient is φ = 1462272.

The previous prime is 5506559. The next prime is 5506573. The reversal of 5506560 is 656055.

5506560 is a `hidden beast` number, since 5 + 5 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22921 + ... + 23159.

It is an arithmetic number, because the mean of its divisors is an integer number (159588).

Almost surely, 2^5506560 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 5506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575280).

5506560 is an abundant number, since it is smaller than the sum of its proper divisors (13644000).

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

5506560 is a wasteful number, since it uses less digits than its factorization.

5506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5506560 is about 2346.6060598234. The cubic root of 5506560 is about 176.5875679290.

The spelling of 5506560 in words is "five million, five hundred six thousand, five hundred sixty".