527842016 has 48 divisors (see below), whose sum is σ = 1124020800. Its totient is φ = 242554368.

The previous prime is 527842009. The next prime is 527842033. The reversal of 527842016 is 610248725.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 96770 + ... + 102078.

It is an arithmetic number, because the mean of its divisors is an integer number (23417100).

Almost surely, 2^527842016 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 527842016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562010400).

527842016 is an abundant number, since it is smaller than the sum of its proper divisors (596178784).

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

527842016 is a wasteful number, since it uses less digits than its factorization.

527842016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5571 (or 5563 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 527842016 is about 22974.8126434145. The cubic root of 527842016 is about 808.1673835498.

The spelling of 527842016 in words is "five hundred twenty-seven million, eight hundred forty-two thousand, sixteen".