527008 has 24 divisors (see below), whose sum is σ = 1064448. Its totient is φ = 256704.

The previous prime is 526997. The next prime is 527053. The reversal of 527008 is 800725.

It is a self number, because there is not a number n which added to its sum of digits gives 527008.

It is an unprimeable number.

527008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1185 + ... + 1567.

It is an arithmetic number, because the mean of its divisors is an integer number (44352).

2⁵²⁷⁰⁰⁸ 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 527008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532224).

527008 is an abundant number, since it is smaller than the sum of its proper divisors (537440).

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

527008 is a wasteful number, since it uses less digits than its factorization.

527008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 527008 is about 725.9531665335. The cubic root of 527008 is about 80.7741511277.

The spelling of 527008 in words is "five hundred twenty-seven thousand, eight".