6874100 has 36 divisors (see below), whose sum is σ = 15209964. Its totient is φ = 2695680.

The previous prime is 6874061. The next prime is 6874111. The reversal of 6874100 is 14786.

It can be written as a sum of positive squares in 6 ways, for example, as 753424 + 6120676 = 868^2 + 2474^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6874100.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4652 + ... + 5948.

It is an arithmetic number, because the mean of its divisors is an integer number (422499).

Almost surely, 2^6874100 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 6874100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7604982).

6874100 is an abundant number, since it is smaller than the sum of its proper divisors (8335864).

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

6874100 is a wasteful number, since it uses less digits than its factorization.

6874100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 6874100 is about 2621.8504915422. The cubic root of 6874100 is about 190.1393253252.

Adding to 6874100 its reverse (14786), we get a palindrome (6888886).

The spelling of 6874100 in words is "six million, eight hundred seventy-four thousand, one hundred".