535824 has 45 divisors (see below), whose sum is σ = 1524549. Its totient is φ = 175680.

The previous prime is 535811. The next prime is 535849. The reversal of 535824 is 428535.

The square root of 535824 is 732.

It is a perfect power (a square), and thus also a powerful number.

535824 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 518400 = 132^2 + 720^2 .

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 535824.

It is an unprimeable number.

535824 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8754 + ... + 8814.

535824 is a Friedman number, since it can be written as ((58+5^3)*4)^2, using all its digits and the basic arithmetic operations.

2⁵³⁵⁸²⁴ is an apocalyptic number.

535824 is the 732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535824

535824 is an abundant number, since it is smaller than the sum of its proper divisors (988725).

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

535824 is a wasteful number, since it uses less digits than its factorization.

535824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 66 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The cubic root of 535824 is about 81.2220700845. Note that the first 3 decimals are identical.

The spelling of 535824 in words is "five hundred thirty-five thousand, eight hundred twenty-four".