535584 has 48 divisors (see below), whose sum is σ = 1608768. Its totient is φ = 152832.

The previous prime is 535573. The next prime is 535589. The reversal of 535584 is 485535.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 5³ + 3¹² + 5³ + 5⁵ + 8³ + 4⁴ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 535584.

It is not an unprimeable number, because it can be changed into a prime (535589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274 + ... + 1070.

It is an arithmetic number, because the mean of its divisors is an integer number (33516).

2⁵³⁵⁵⁸⁴ 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 535584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804384).

535584 is an abundant number, since it is smaller than the sum of its proper divisors (1073184).

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

535584 is a wasteful number, since it uses less digits than its factorization.

535584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 809 counting only the distinct ones).

The product of its digits is 12000, while the sum is 30.

The square root of 535584 is about 731.8360472128. The cubic root of 535584 is about 81.2099415946.

The spelling of 535584 in words is "five hundred thirty-five thousand, five hundred eighty-four".