856944 has 60 divisors (see below), whose sum is σ = 2621112. Its totient is φ = 259200.

The previous prime is 856943. The next prime is 856949. The reversal of 856944 is 449658.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 856899 and 856908.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 856944.

It is not an unprimeable number, because it can be changed into a prime (856943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1314 + ... + 1854.

2⁸⁵⁶⁹⁴⁴ 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 856944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310556).

856944 is an abundant number, since it is smaller than the sum of its proper divisors (1764168).

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

856944 is a wasteful number, since it uses less digits than its factorization.

856944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 557 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 856944 is about 925.7126984113. The cubic root of 856944 is about 94.9840785876.

The spelling of 856944 in words is "eight hundred fifty-six thousand, nine hundred forty-four".