528066 has 64 divisors (see below), whose sum is σ = 1474560. Its totient is φ = 136080.

The previous prime is 528053. The next prime is 528091. The reversal of 528066 is 660825.

528066 = T₂₀ + T₂₁ + ... + T₁₄₆.

528066 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9 and base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4095 + ... + 4221.

It is an arithmetic number, because the mean of its divisors is an integer number (23040).

2⁵²⁸⁰⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737280).

528066 is an abundant number, since it is smaller than the sum of its proper divisors (946494).

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

528066 is a wasteful number, since it uses less digits than its factorization.

528066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 528066 is about 726.6814983196. The cubic root of 528066 is about 80.8281679721.

It can be divided in two parts, 52 and 8066, that added together give a palindrome (8118).

The spelling of 528066 in words is "five hundred twenty-eight thousand, sixty-six".