528126 has 32 divisors (see below), whose sum is σ = 1140480. Its totient is φ = 162624.

The previous prime is 528107. The next prime is 528127. The reversal of 528126 is 621825.

Its product of digits (960) is a multiple of the sum of its prime divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 528096 and 528105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5890 + ... + 5978.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2⁵²⁸¹²⁶ is an apocalyptic number.

528126 is an abundant number, since it is smaller than the sum of its proper divisors (612354).

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

528126 is a wasteful number, since it uses less digits than its factorization.

528126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160.

The product of its digits is 960, while the sum is 24.

The square root of 528126 is about 726.7227807080. The cubic root of 528126 is about 80.8312291466.

The spelling of 528126 in words is "five hundred twenty-eight thousand, one hundred twenty-six".