527160816 has 240 divisors, whose sum is σ = 1855089600. Its totient is φ = 138862080.

The previous prime is 527160791. The next prime is 527160839. The reversal of 527160816 is 618061725.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 641686 + ... + 642506.

It is an arithmetic number, because the mean of its divisors is an integer number (7729540).

Almost surely, 2^527160816 is an apocalyptic number.

527160816 is a gapful number since it is divisible by the number (56) 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 527160816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927544800).

527160816 is an abundant number, since it is smaller than the sum of its proper divisors (1327928784).

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

527160816 is a wasteful number, since it uses less digits than its factorization.

527160816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 527160816 is about 22959.9829268229. The cubic root of 527160816 is about 807.8195770731.

Subtracting 527160816 from its reverse (618061725), we obtain a palindrome (90900909).

The spelling of 527160816 in words is "five hundred twenty-seven million, one hundred sixty thousand, eight hundred sixteen".