527995968 has 112 divisors (see below), whose sum is σ = 1476304896. Its totient is φ = 166279680.

The previous prime is 527995961. The next prime is 527995987. The reversal of 527995968 is 869599725.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (527995961) 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 15 ways as a sum of consecutive naturals, for example, 254905 + ... + 256967.

Almost surely, 2^527995968 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 527995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738152448).

527995968 is an abundant number, since it is smaller than the sum of its proper divisors (948308928).

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

527995968 is a wasteful number, since it uses less digits than its factorization.

527995968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2142 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 60.

The square root of 527995968 is about 22978.1628508460. The cubic root of 527995968 is about 808.2459467606.

The spelling of 527995968 in words is "five hundred twenty-seven million, nine hundred ninety-five thousand, nine hundred sixty-eight".