531008768 has 72 divisors (see below), whose sum is σ = 1091643168. Its totient is φ = 257697792.

The previous prime is 531008767. The next prime is 531008771. The reversal of 531008768 is 867800135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531008761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1423430 + ... + 1423802.

Almost surely, 2^531008768 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 531008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545821584).

531008768 is an abundant number, since it is smaller than the sum of its proper divisors (560634400).

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

531008768 is an equidigital number, since it uses as much as digits as its factorization.

531008768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 531008768 is about 23043.6274922157. The cubic root of 531008768 is about 809.7803438327.

The spelling of 531008768 in words is "five hundred thirty-one million, eight thousand, seven hundred sixty-eight".