828906 has 16 divisors (see below), whose sum is σ = 1785504. Its totient is φ = 255024.

The previous prime is 828901. The next prime is 828917. The reversal of 828906 is 609828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828901) 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 7 ways as a sum of consecutive naturals, for example, 5236 + ... + 5391.

It is an arithmetic number, because the mean of its divisors is an integer number (111594).

2⁸²⁸⁹⁰⁶ is an apocalyptic number.

828906 is an abundant number, since it is smaller than the sum of its proper divisors (956598).

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

828906 is a wasteful number, since it uses less digits than its factorization.

828906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10645.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 828906 is about 910.4427494357. The cubic root of 828906 is about 93.9366556786.

The spelling of 828906 in words is "eight hundred twenty-eight thousand, nine hundred six".