906822 has 32 divisors (see below), whose sum is σ = 2304000. Its totient is φ = 258984.

The previous prime is 906817. The next prime is 906823. The reversal of 906822 is 228609.

It is a super-2 number, since 2×906822² = 1644652279368, which contains 22 as substring.

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

It is a congruent number.

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

906822 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 15 ways as a sum of consecutive naturals, for example, 822 + ... + 1577.

It is an arithmetic number, because the mean of its divisors is an integer number (72000).

2⁹⁰⁶⁸²² is an apocalyptic number.

906822 is an abundant number, since it is smaller than the sum of its proper divisors (1397178).

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

906822 is a wasteful number, since it uses less digits than its factorization.

906822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 906822 is about 952.2720199607. The cubic root of 906822 is about 96.7922716549.

It can be divided in two parts, 906 and 822, that added together give a cube (1728 = 12³).

The spelling of 906822 in words is "nine hundred six thousand, eight hundred twenty-two".