531320 has 32 divisors (see below), whose sum is σ = 1231200. Its totient is φ = 206208.

The previous prime is 531299. The next prime is 531331. The reversal of 531320 is 23135.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 531295 and 531304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1301 + ... + 1659.

It is an arithmetic number, because the mean of its divisors is an integer number (38475).

2⁵³¹³²⁰ 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 531320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615600).

531320 is an abundant number, since it is smaller than the sum of its proper divisors (699880).

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

531320 is a wasteful number, since it uses less digits than its factorization.

531320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 531320 is about 728.9170048778. The cubic root of 531320 is about 80.9938520965.

Adding to 531320 its reverse (23135), we get a palindrome (554455).

The spelling of 531320 in words is "five hundred thirty-one thousand, three hundred twenty".