6873600 has 120 divisors (see below), whose sum is σ = 22833360. Its totient is φ = 1822720.

The previous prime is 6873583. The next prime is 6873613. The reversal of 6873600 is 63786.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 11 ways as a sum of consecutive naturals, for example, 38311 + ... + 38489.

It is an arithmetic number, because the mean of its divisors is an integer number (190278).

Almost surely, 2^6873600 is an apocalyptic number.

6873600 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 6873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416680).

6873600 is an abundant number, since it is smaller than the sum of its proper divisors (15959760).

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

6873600 is a wasteful number, since it uses less digits than its factorization.

6873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6873600 is about 2621.7551373078. The cubic root of 6873600 is about 190.1347151717.

The spelling of 6873600 in words is "six million, eight hundred seventy-three thousand, six hundred".