531609120 has 288 divisors, whose sum is σ = 2164361472. Its totient is φ = 116176896.

The previous prime is 531609079. The next prime is 531609139. The reversal of 531609120 is 21906135.

531609120 is a `hidden beast` number, since 5 + 31 + 609 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230694 + ... + 232986.

It is an arithmetic number, because the mean of its divisors is an integer number (7515144).

Almost surely, 2^531609120 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 531609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082180736).

531609120 is an abundant number, since it is smaller than the sum of its proper divisors (1632752352).

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

531609120 is a wasteful number, since it uses less digits than its factorization.

531609120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 531609120 is about 23056.6502337178. The cubic root of 531609120 is about 810.0854048036.

The spelling of 531609120 in words is "five hundred thirty-one million, six hundred nine thousand, one hundred twenty".