811944 has 80 divisors (see below), whose sum is σ = 2613600. Its totient is φ = 230688.

The previous prime is 811933. The next prime is 811957. The reversal of 811944 is 449118.

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

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 811944.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4447 + ... + 4625.

It is an arithmetic number, because the mean of its divisors is an integer number (32670).

2⁸¹¹⁹⁴⁴ is an apocalyptic number.

811944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 811944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306800).

811944 is an abundant number, since it is smaller than the sum of its proper divisors (1801656).

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

811944 is a wasteful number, since it uses less digits than its factorization.

811944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 811944 is about 901.0793527764. The cubic root of 811944 is about 93.2914891793.

It can be divided in two parts, 81 and 1944, that multiplied together give a cube (157464 = 54³).

The spelling of 811944 in words is "eight hundred eleven thousand, nine hundred forty-four".