6873000 has 128 divisors (see below), whose sum is σ = 22464000. Its totient is φ = 1747200.

The previous prime is 6872963. The next prime is 6873001. The reversal of 6873000 is 3786.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6873001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86961 + ... + 87039.

It is an arithmetic number, because the mean of its divisors is an integer number (175500).

Almost surely, 2^6873000 is an apocalyptic number.

6873000 is a gapful number since it is divisible by the number (60) 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 6873000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11232000).

6873000 is an abundant number, since it is smaller than the sum of its proper divisors (15591000).

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

6873000 is a wasteful number, since it uses less digits than its factorization.

6873000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 6873000 is about 2621.6407076486. The cubic root of 6873000 is about 190.1291826924.

Adding to 6873000 its reverse (3786), we get a palindrome (6876786).

The spelling of 6873000 in words is "six million, eight hundred seventy-three thousand".