5606580 has 72 divisors (see below), whose sum is σ = 18271008. Its totient is φ = 1280832.

The previous prime is 5606561. The next prime is 5606581. The reversal of 5606580 is 856065.

5606580 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (5606581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1987 + ... + 3893.

It is an arithmetic number, because the mean of its divisors is an integer number (253764).

Almost surely, 2^5606580 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 5606580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9135504).

5606580 is an abundant number, since it is smaller than the sum of its proper divisors (12664428).

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

5606580 is a wasteful number, since it uses less digits than its factorization.

5606580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1924 counting only the distinct ones).

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

The square root of 5606580 is about 2367.8217838342. The cubic root of 5606580 is about 177.6503256050.

It can be divided in two parts, 560 and 6580, that added together give a triangular number (7140 = T₁₁₉).

The spelling of 5606580 in words is "five million, six hundred six thousand, five hundred eighty".