856544 has 48 divisors (see below), whose sum is σ = 1905120. Its totient is φ = 376320.

The previous prime is 856529. The next prime is 856547. The reversal of 856544 is 445658.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 856544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856547) by changing a digit.

856544 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12029 + ... + 12099.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2⁸⁵⁶⁵⁴⁴ 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 856544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952560).

856544 is an abundant number, since it is smaller than the sum of its proper divisors (1048576).

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

856544 is a wasteful number, since it uses less digits than its factorization.

856544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 115 counting only the distinct ones).

The product of its digits is 19200, while the sum is 32.

The square root of 856544 is about 925.4966234406. The cubic root of 856544 is about 94.9692975578.

It can be divided in two parts, 85654 and 4, that added together give a palindrome (85658).

The spelling of 856544 in words is "eight hundred fifty-six thousand, five hundred forty-four".