527864832 has 264 divisors, whose sum is σ = 1716728832. Its totient is φ = 154828800.

The previous prime is 527864809. The next prime is 527864839. The reversal of 527864832 is 238468725.

527864832 is a `hidden beast` number, since 527 + 86 + 48 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527864839) 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 23 ways as a sum of consecutive naturals, for example, 4156353 + ... + 4156479.

Almost surely, 2^527864832 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 527864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858364416).

527864832 is an abundant number, since it is smaller than the sum of its proper divisors (1188864000).

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

527864832 is a wasteful number, since it uses less digits than its factorization.

527864832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 527864832 is about 22975.3091818152. The cubic root of 527864832 is about 808.1790277418.

The spelling of 527864832 in words is "five hundred twenty-seven million, eight hundred sixty-four thousand, eight hundred thirty-two".