5585680 has 20 divisors (see below), whose sum is σ = 12986892. Its totient is φ = 2234240.

The previous prime is 5585663. The next prime is 5585683. The reversal of 5585680 is 865855.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 4393216 = 1092^2 + 2096^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (5585683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34831 + ... + 34990.

Almost surely, 2^5585680 is an apocalyptic number.

It is an amenable number.

5585680 is an abundant number, since it is smaller than the sum of its proper divisors (7401212).

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

5585680 is a wasteful number, since it uses less digits than its factorization.

5585680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69834 (or 69828 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The square root of 5585680 is about 2363.4043242746. The cubic root of 5585680 is about 177.4293046513.

The spelling of 5585680 in words is "five million, five hundred eighty-five thousand, six hundred eighty".