6890000 has 100 divisors (see below), whose sum is σ = 18303516. Its totient is φ = 2496000.

The previous prime is 6889997. The next prime is 6890017. The reversal of 6890000 is 986.

It can be written as a sum of positive squares in 10 ways, for example, as 5740816 + 1149184 = 2396^2 + 1072^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129974 + ... + 130026.

Almost surely, 2^6890000 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 6890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9151758).

6890000 is an abundant number, since it is smaller than the sum of its proper divisors (11413516).

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

6890000 is a wasteful number, since it uses less digits than its factorization.

6890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 6890000 is about 2624.8809496813. The cubic root of 6890000 is about 190.2858117662.

Adding to 6890000 its reverse (986), we get a palindrome (6890986).

The spelling of 6890000 in words is "six million, eight hundred ninety thousand".