5585520 has 120 divisors (see below), whose sum is σ = 18842544. Its totient is φ = 1363968.

The previous prime is 5585513. The next prime is 5585543. The reversal of 5585520 is 255855.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 150942 + ... + 150978.

Almost surely, 2^5585520 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 5585520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9421272).

5585520 is an abundant number, since it is smaller than the sum of its proper divisors (13257024).

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

5585520 is a wasteful number, since it uses less digits than its factorization.

5585520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

The square root of 5585520 is about 2363.3704745554. The cubic root of 5585520 is about 177.4276105001.

It can be divided in two parts, 5585 and 520, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 5585520 in words is "five million, five hundred eighty-five thousand, five hundred twenty".