531431680 has 144 divisors (see below), whose sum is σ = 1388162160. Its totient is φ = 193757184.

The previous prime is 531431647. The next prime is 531431701. The reversal of 531431680 is 86134135.

531431680 = T₃₉₁ + T₃₉₂ + ... + T₁₄₈₀.

It can be written as a sum of positive squares in 8 ways, for example, as 6471936 + 524959744 = 2544^2 + 22912^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1813614 + ... + 1813906.

It is an arithmetic number, because the mean of its divisors is an integer number (9640015).

Almost surely, 2^531431680 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 531431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694081080).

531431680 is an abundant number, since it is smaller than the sum of its proper divisors (856730480).

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

531431680 is a wasteful number, since it uses less digits than its factorization.

531431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 531431680 is about 23052.8019988894. The cubic root of 531431680 is about 809.9952649218.

The spelling of 531431680 in words is "five hundred thirty-one million, four hundred thirty-one thousand, six hundred eighty".