527934564 has 96 divisors (see below), whose sum is σ = 1419264000. Its totient is φ = 169591968.

The previous prime is 527934559. The next prime is 527934601. The reversal of 527934564 is 465439725.

527934564 is a `hidden beast` number, since 52 + 7 + 9 + 34 + 564 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366157 + ... + 367595.

It is an arithmetic number, because the mean of its divisors is an integer number (14784000).

Almost surely, 2^527934564 is an apocalyptic number.

527934564 is a gapful number since it is divisible by the number (54) 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 527934564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709632000).

527934564 is an abundant number, since it is smaller than the sum of its proper divisors (891329436).

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

527934564 is a wasteful number, since it uses less digits than its factorization.

527934564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1566 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 527934564 is about 22976.8266738468. The cubic root of 527934564 is about 808.2146135301.

The spelling of 527934564 in words is "five hundred twenty-seven million, nine hundred thirty-four thousand, five hundred sixty-four".