531024 has 80 divisors (see below), whose sum is σ = 1583232. Its totient is φ = 152064.

The previous prime is 531023. The next prime is 531043. The reversal of 531024 is 420135.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 530994 and 531012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14334 + ... + 14370.

2⁵³¹⁰²⁴ 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 531024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791616).

531024 is an abundant number, since it is smaller than the sum of its proper divisors (1052208).

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

531024 is a wasteful number, since it uses less digits than its factorization.

531024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 531024 is about 728.7139356428. The cubic root of 531024 is about 80.9788086615.

Adding to 531024 its reverse (420135), we get a palindrome (951159).

Subtracting from 531024 its reverse (420135), we obtain a square (110889 = 333²).

The spelling of 531024 in words is "five hundred thirty-one thousand, twenty-four".