5566080 has 128 divisors (see below), whose sum is σ = 19192320. Its totient is φ = 1363968.

The previous prime is 5566073. The next prime is 5566087. The reversal of 5566080 is 806655.

It is an interprime number because it is at equal distance from previous prime (5566073) and next prime (5566087).

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5566087) 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, 24849 + ... + 25071.

It is an arithmetic number, because the mean of its divisors is an integer number (149940).

Almost surely, 2^5566080 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 5566080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9596160).

5566080 is an abundant number, since it is smaller than the sum of its proper divisors (13626240).

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

5566080 is a wasteful number, since it uses less digits than its factorization.

5566080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 5566080 is about 2359.2541194199. The cubic root of 5566080 is about 177.2215298929.

The spelling of 5566080 in words is "five million, five hundred sixty-six thousand, eighty".