6889000 has 48 divisors (see below), whose sum is σ = 16316820. Its totient is φ = 2722400.

The previous prime is 6888997. The next prime is 6889009. The reversal of 6889000 is 9886.

6889000 = 26² + 27² + ... + 274².

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6889000 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in 2 ways, for example, as 4656964 + 2232036 = 2158^2 + 1494^2 .

It is not an unprimeable number, because it can be changed into a prime (6889009) 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, 82959 + ... + 83041.

Almost surely, 2^6889000 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 6889000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158410).

6889000 is an abundant number, since it is smaller than the sum of its proper divisors (9427820).

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

6889000 is an equidigital number, since it uses as much as digits as its factorization.

6889000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 6889000 is about 2624.6904579398. The cubic root of 6889000 is about 190.2766054277.

The spelling of 6889000 in words is "six million, eight hundred eighty-nine thousand".