527286816 has 216 divisors, whose sum is σ = 1780519104. Its totient is φ = 144990720.

The previous prime is 527286797. The next prime is 527286821. The reversal of 527286816 is 618682725.

It is a super-3 number, since 3×527286816³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1695301 + ... + 1695611.

It is an arithmetic number, because the mean of its divisors is an integer number (8243144).

Almost surely, 2^527286816 is an apocalyptic number.

527286816 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 527286816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890259552).

527286816 is an abundant number, since it is smaller than the sum of its proper divisors (1253232288).

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

527286816 is a wasteful number, since it uses less digits than its factorization.

527286816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 352 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 527286816 is about 22962.7266673625. The cubic root of 527286816 is about 807.8839326140.

The spelling of 527286816 in words is "five hundred twenty-seven million, two hundred eighty-six thousand, eight hundred sixteen".