853944 has 128 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 202752.

The previous prime is 853933. The next prime is 853949. The reversal of 853944 is 449358.

853944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (853949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37117 + ... + 37139.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁸⁵³⁹⁴⁴ is an apocalyptic number.

853944 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 853944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

853944 is an abundant number, since it is smaller than the sum of its proper divisors (2049096).

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

853944 is a wasteful number, since it uses less digits than its factorization.

853944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 65 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 853944 is about 924.0909046192. The cubic root of 853944 is about 94.8731085182.

The spelling of 853944 in words is "eight hundred fifty-three thousand, nine hundred forty-four".