906828 has 24 divisors (see below), whose sum is σ = 2279088. Its totient is φ = 278976.

The previous prime is 906823. The next prime is 906839. The reversal of 906828 is 828609.

It is not an unprimeable number, because it can be changed into a prime (906823) by changing a digit.

906828 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2751 + ... + 3062.

It is an arithmetic number, because the mean of its divisors is an integer number (94962).

2⁹⁰⁶⁸²⁸ is an apocalyptic number.

It is an amenable number.

906828 is an abundant number, since it is smaller than the sum of its proper divisors (1372260).

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

906828 is a wasteful number, since it uses less digits than its factorization.

906828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5831 counting only the distinct ones).

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

The square root of 906828 is about 952.2751703158. The cubic root of 906828 is about 96.7924851302.

The spelling of 906828 in words is "nine hundred six thousand, eight hundred twenty-eight".