6885144 has 96 divisors (see below), whose sum is σ = 22464000. Its totient is φ = 1861056.

The previous prime is 6885143. The next prime is 6885161. The reversal of 6885144 is 4415886.

It is a super-4 number, since 4×6885144⁴ (a number of 28 digits) contains 4444 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 = 6885099 and 6885108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6885143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9217 + ... + 9935.

It is an arithmetic number, because the mean of its divisors is an integer number (234000).

Almost surely, 2^6885144 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 6885144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232000).

6885144 is an abundant number, since it is smaller than the sum of its proper divisors (15578856).

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

6885144 is a wasteful number, since it uses less digits than its factorization.

6885144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 750 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 6885144 is about 2623.9557923105. The cubic root of 6885144 is about 190.2410974426.

It can be divided in two parts, 688 and 5144, that added together give a cube (5832 = 18³).

The spelling of 6885144 in words is "six million, eight hundred eighty-five thousand, one hundred forty-four".