844816 has 40 divisors (see below), whose sum is σ = 1974080. Its totient is φ = 342144.

The previous prime is 844777. The next prime is 844841. The reversal of 844816 is 618448.

It is an unprimeable number.

844816 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1930 + ... + 2326.

It is an arithmetic number, because the mean of its divisors is an integer number (49352).

2⁸⁴⁴⁸¹⁶ 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 844816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987040).

844816 is an abundant number, since it is smaller than the sum of its proper divisors (1129264).

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

844816 is a wasteful number, since it uses less digits than its factorization.

844816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 844816 is about 919.1387272877. The cubic root of 844816 is about 94.5338568345.

It can be divided in two parts, 8448 and 16, that added together give a square (8464 = 92²).

The spelling of 844816 in words is "eight hundred forty-four thousand, eight hundred sixteen".