531827712 has 264 divisors, whose sum is σ = 1734611424. Its totient is φ = 155713536.

The previous prime is 531827671. The next prime is 531827719. The reversal of 531827712 is 217728135.

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 (531827719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2755488 + ... + 2755680.

Almost surely, 2^531827712 is an apocalyptic number.

531827712 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531827712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867305712).

531827712 is an abundant number, since it is smaller than the sum of its proper divisors (1202783712).

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

531827712 is a wasteful number, since it uses less digits than its factorization.

531827712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 531827712 is about 23061.3900708522. The cubic root of 531827712 is about 810.1964224146.

The spelling of 531827712 in words is "five hundred thirty-one million, eight hundred twenty-seven thousand, seven hundred twelve".