5635584 has 60 divisors (see below), whose sum is σ = 16277976. Its totient is φ = 1876992.

The previous prime is 5635561. The next prime is 5635589. The reversal of 5635584 is 4855365.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5635589) 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 5 ways as a sum of consecutive naturals, for example, 3997 + ... + 5219.

Almost surely, 2^5635584 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 5635584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138988).

5635584 is an abundant number, since it is smaller than the sum of its proper divisors (10642392).

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

5635584 is a wasteful number, since it uses less digits than its factorization.

5635584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1228 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 5635584 is about 2373.9384996246. The cubic root of 5635584 is about 177.9561395111.

The spelling of 5635584 in words is "five million, six hundred thirty-five thousand, five hundred eighty-four".