528640 has 72 divisors (see below), whose sum is σ = 1471680. Its totient is φ = 178176.

The previous prime is 528631. The next prime is 528659. The reversal of 528640 is 46825.

It is a nialpdrome in base 14 and base 16.

It is an unprimeable number.

528640 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 (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8931 + ... + 8989.

It is an arithmetic number, because the mean of its divisors is an integer number (20440).

2⁵²⁸⁶⁴⁰ 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 528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735840).

528640 is an abundant number, since it is smaller than the sum of its proper divisors (943040).

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

528640 is an equidigital number, since it uses as much as digits as its factorization.

528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 528640 is about 727.0763371201. The cubic root of 528640 is about 80.8574437118.

The spelling of 528640 in words is "five hundred twenty-eight thousand, six hundred forty".