1026528 has 72 divisors (see below), whose sum is σ = 2939832. Its totient is φ = 313344.

The previous prime is 1026521. The next prime is 1026547. The reversal of 1026528 is 8256201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1026498 and 1026507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026521) 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 11 ways as a sum of consecutive naturals, for example, 27726 + ... + 27762.

It is an arithmetic number, because the mean of its divisors is an integer number (40831).

2^1026528 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 1026528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469916).

1026528 is an abundant number, since it is smaller than the sum of its proper divisors (1913304).

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

1026528 is a wasteful number, since it uses less digits than its factorization.

1026528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

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

The square root of 1026528 is about 1013.1771809511. The cubic root of 1026528 is about 100.8765606308.

It can be divided in two parts, 102 and 6528, that multiplied together give a square (665856 = 816²).

The spelling of 1026528 in words is "one million, twenty-six thousand, five hundred twenty-eight".