531820080 has 280 divisors, whose sum is σ = 2024848080. Its totient is φ = 128770560.

The previous prime is 531820063. The next prime is 531820117. The reversal of 531820080 is 80028135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 55 ways as a sum of consecutive naturals, for example, 641106 + ... + 641934.

Almost surely, 2^531820080 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 531820080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012424040).

531820080 is an abundant number, since it is smaller than the sum of its proper divisors (1493028000).

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

531820080 is a wasteful number, since it uses less digits than its factorization.

531820080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 531820080 is about 23061.2245988803. The cubic root of 531820080 is about 810.1925468183.

The spelling of 531820080 in words is "five hundred thirty-one million, eight hundred twenty thousand, eighty".