844096 has 42 divisors (see below), whose sum is σ = 1858010. Its totient is φ = 380160.

The previous prime is 844093. The next prime is 844111. The reversal of 844096 is 690448.

It can be written as a sum of positive squares in only one way, i.e., 774400 + 69696 = 880^2 + 264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7690 + ... + 7798.

2⁸⁴⁴⁰⁹⁶ 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 844096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929005).

844096 is an abundant number, since it is smaller than the sum of its proper divisors (1013914).

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

844096 is a wasteful number, since it uses less digits than its factorization.

844096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 844096 is about 918.7469727841. The cubic root of 844096 is about 94.5069935009.

The spelling of 844096 in words is "eight hundred forty-four thousand, ninety-six".