6855444 has 36 divisors (see below), whose sum is σ = 17660916. Its totient is φ = 2241408.

The previous prime is 6855419. The next prime is 6855451. The reversal of 6855444 is 4445586.

6855444 is a `hidden beast` number, since 68 + 554 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3572100 + 3283344 = 1890^2 + 1812^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×6855444² = 93994224874272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6855399 and 6855408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112 + ... + 3704.

It is an arithmetic number, because the mean of its divisors is an integer number (490581).

Almost surely, 2^6855444 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 6855444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830458).

6855444 is an abundant number, since it is smaller than the sum of its proper divisors (10805472).

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

6855444 is a wasteful number, since it uses less digits than its factorization.

6855444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3651 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 6855444 is about 2618.2902818442. The cubic root of 6855444 is about 189.9671596057.

The spelling of 6855444 in words is "six million, eight hundred fifty-five thousand, four hundred forty-four".