531920 has 40 divisors (see below), whose sum is σ = 1268520. Its totient is φ = 207360.

The previous prime is 531919. The next prime is 531977. The reversal of 531920 is 29135.

It can be written as a sum of positive squares in 4 ways, for example, as 7744 + 524176 = 88^2 + 724^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 531892 and 531901.

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, 4826 + ... + 4934.

It is an arithmetic number, because the mean of its divisors is an integer number (31713).

2⁵³¹⁹²⁰ 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 531920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634260).

531920 is an abundant number, since it is smaller than the sum of its proper divisors (736600).

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

531920 is a wasteful number, since it uses less digits than its factorization.

531920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 531920 is about 729.3284582409. The cubic root of 531920 is about 81.0243284134.

The spelling of 531920 in words is "five hundred thirty-one thousand, nine hundred twenty".