527864064 has 324 divisors, whose sum is σ = 1790960976. Its totient is φ = 137539584.

The previous prime is 527864039. The next prime is 527864083. The reversal of 527864064 is 460468725.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6359767 + ... + 6359849.

Almost surely, 2^527864064 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 527864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895480488).

527864064 is an abundant number, since it is smaller than the sum of its proper divisors (1263096912).

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

527864064 is a wasteful number, since it uses less digits than its factorization.

527864064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 527864064 is about 22975.2924682146. The cubic root of 527864064 is about 808.1786357969.

The spelling of 527864064 in words is "five hundred twenty-seven million, eight hundred sixty-four thousand, sixty-four".