531120 has 40 divisors (see below), whose sum is σ = 1647216. Its totient is φ = 141568.

The previous prime is 531103. The next prime is 531121. The reversal of 531120 is 21135.

531120 = 113² + 114² + ... + 144².

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 531096 and 531105.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 531120.

It is not an unprimeable number, because it can be changed into a prime (531121) by changing a digit.

531120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 867 + ... + 1346.

2⁵³¹¹²⁰ is an apocalyptic number.

It is an amenable number.

531120 is an abundant number, since it is smaller than the sum of its proper divisors (1116096).

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

531120 is a wasteful number, since it uses less digits than its factorization.

531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 531120 is about 728.7798021350. The cubic root of 531120 is about 80.9836882258.

Adding to 531120 its reverse (21135), we get a palindrome (552255).

It can be divided in two parts, 5 and 31120, that added together give a triangular number (31125 = T₂₄₉).

The spelling of 531120 in words is "five hundred thirty-one thousand, one hundred twenty".