521824 has 24 divisors (see below), whose sum is σ = 1073520. Its totient is φ = 249216.

The previous prime is 521819. The next prime is 521831. The reversal of 521824 is 428125.

It is a junction number, because it is equal to n+sod(n) for n = 521795 and 521804.

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 3 ways as a sum of consecutive naturals, for example, 382 + ... + 1090.

It is an arithmetic number, because the mean of its divisors is an integer number (44730).

2⁵²¹⁸²⁴ 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 521824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536760).

521824 is an abundant number, since it is smaller than the sum of its proper divisors (551696).

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

521824 is a wasteful number, since it uses less digits than its factorization.

521824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 734 counting only the distinct ones).

The product of its digits is 640, while the sum is 22.

The square root of 521824 is about 722.3738644220. The cubic root of 521824 is about 80.5084285762.

Adding to 521824 its reverse (428125), we get a palindrome (949949).

The spelling of 521824 in words is "five hundred twenty-one thousand, eight hundred twenty-four".