531344080 has 80 divisors (see below), whose sum is σ = 1270967760. Its totient is φ = 206495744.

The previous prime is 531344057. The next prime is 531344111. The reversal of 531344080 is 80443135.

It can be written as a sum of positive squares in 8 ways, for example, as 175191696 + 356152384 = 13236^2 + 18872^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 478566 + ... + 479674.

It is an arithmetic number, because the mean of its divisors is an integer number (15887097).

Almost surely, 2^531344080 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 531344080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635483880).

531344080 is an abundant number, since it is smaller than the sum of its proper divisors (739623680).

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

531344080 is a wasteful number, since it uses less digits than its factorization.

531344080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 531344080 is about 23050.9019346315. The cubic root of 531344080 is about 809.9507565450.

The spelling of 531344080 in words is "five hundred thirty-one million, three hundred forty-four thousand, eighty".