531960 has 128 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 115200.

The previous prime is 531919. The next prime is 531977. The reversal of 531960 is 69135.

531960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 531960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17145 + ... + 17175.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2⁵³¹⁹⁶⁰ 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 531960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

531960 is an abundant number, since it is smaller than the sum of its proper divisors (1403400).

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

531960 is a wasteful number, since it uses less digits than its factorization.

531960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 531960 is about 729.3558802121. The cubic root of 531960 is about 81.0263593528.

The spelling of 531960 in words is "five hundred thirty-one thousand, nine hundred sixty".