527766816 has 96 divisors (see below), whose sum is σ = 1469035008. Its totient is φ = 165611520.

The previous prime is 527766793. The next prime is 527766817. The reversal of 527766816 is 618667725.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (527766817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107716 + ... + 112508.

It is an arithmetic number, because the mean of its divisors is an integer number (15302448).

Almost surely, 2^527766816 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 527766816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734517504).

527766816 is an abundant number, since it is smaller than the sum of its proper divisors (941268192).

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

527766816 is a wasteful number, since it uses less digits than its factorization.

527766816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4874 (or 4866 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 527766816 is about 22973.1760102951. The cubic root of 527766816 is about 808.1290027011.

Subtracting 527766816 from its reverse (618667725), we obtain a palindrome (90900909).

The spelling of 527766816 in words is "five hundred twenty-seven million, seven hundred sixty-six thousand, eight hundred sixteen".