527712840 has 128 divisors (see below), whose sum is σ = 1851696000. Its totient is φ = 133311744.

The previous prime is 527712817. The next prime is 527712847. The reversal of 527712840 is 48217725.

527712840 is a `hidden beast` number, since 527 + 7 + 128 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 527712795 and 527712804.

It is not an unprimeable number, because it can be changed into a prime (527712847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7662 + ... + 33378.

It is an arithmetic number, because the mean of its divisors is an integer number (14466375).

Almost surely, 2^527712840 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 527712840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925848000).

527712840 is an abundant number, since it is smaller than the sum of its proper divisors (1323983160).

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

527712840 is a wasteful number, since it uses less digits than its factorization.

527712840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25756 (or 25746 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 527712840 is about 22972.0012188751. The cubic root of 527712840 is about 808.1014519869.

It can be divided in two parts, 52771 and 2840, that added together give a triangular number (55611 = T₃₃₃).

The spelling of 527712840 in words is "five hundred twenty-seven million, seven hundred twelve thousand, eight hundred forty".