6889344 has 128 divisors (see below), whose sum is σ = 22913280. Its totient is φ = 1781760.

The previous prime is 6889339. The next prime is 6889357. The reversal of 6889344 is 4439886.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (165888) is a multiple of the sum of its prime divisors (256).

It is a junction number, because it is equal to n+sod(n) for n = 6889296 and 6889305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29452 + ... + 29684.

It is an arithmetic number, because the mean of its divisors is an integer number (179010).

Almost surely, 2^6889344 is an apocalyptic number.

6889344 is a gapful number since it is divisible by the number (64) 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 6889344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11456640).

6889344 is an abundant number, since it is smaller than the sum of its proper divisors (16023936).

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

6889344 is a wasteful number, since it uses less digits than its factorization.

6889344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 6889344 is about 2624.7559886588. The cubic root of 6889344 is about 190.2797725087.

The spelling of 6889344 in words is "six million, eight hundred eighty-nine thousand, three hundred forty-four".