531067680 has 288 divisors, whose sum is σ = 2129924160. Its totient is φ = 118794240.

The previous prime is 531067657. The next prime is 531067687. The reversal of 531067680 is 86760135.

531067680 is a `hidden beast` number, since 531 + 0 + 67 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×531067680³ (a number of 27 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (531067687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204631 + ... + 207209.

It is an arithmetic number, because the mean of its divisors is an integer number (7395570).

Almost surely, 2^531067680 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 531067680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064962080).

531067680 is an abundant number, since it is smaller than the sum of its proper divisors (1598856480).

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

531067680 is a wasteful number, since it uses less digits than its factorization.

531067680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 531067680 is about 23044.9057277308. The cubic root of 531067680 is about 809.8102893618.

The spelling of 531067680 in words is "five hundred thirty-one million, sixty-seven thousand, six hundred eighty".