531982080 has 360 divisors, whose sum is σ = 2178429792. Its totient is φ = 121430016.

The previous prime is 531982063. The next prime is 531982081. The reversal of 531982080 is 80289135.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×531982080² = 566009866882252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531982081) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725394 + ... + 726126.

Almost surely, 2^531982080 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 531982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089214896).

531982080 is an abundant number, since it is smaller than the sum of its proper divisors (1646447712).

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

531982080 is an equidigital number, since it uses as much as digits as its factorization.

531982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 531982080 is about 23064.7367208039. The cubic root of 531982080 is about 810.2748038777.

It can be divided in two parts, 53198 and 2080, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 531982080 in words is "five hundred thirty-one million, nine hundred eighty-two thousand, eighty".