6873100 has 72 divisors (see below), whose sum is σ = 17061408. Its totient is φ = 2380800.

The previous prime is 6873091. The next prime is 6873107. The reversal of 6873100 is 13786.

It is a super-2 number, since 2×6873100² = 94479007220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (6873107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21945 + ... + 22255.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 2^6873100 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 6873100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530704).

6873100 is an abundant number, since it is smaller than the sum of its proper divisors (10188308).

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

6873100 is a wasteful number, since it uses less digits than its factorization.

6873100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 6873100 is about 2621.6597796053. The cubic root of 6873100 is about 190.1301047947.

Adding to 6873100 its reverse (13786), we get a palindrome (6886886).

The spelling of 6873100 in words is "six million, eight hundred seventy-three thousand, one hundred".