6848600 has 72 divisors (see below), whose sum is σ = 17563980. Its totient is φ = 2481600.

The previous prime is 6848581. The next prime is 6848609. The reversal of 6848600 is 68486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6848609) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 24059 + ... + 24341.

Almost surely, 2^6848600 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 6848600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8781990).

6848600 is an abundant number, since it is smaller than the sum of its proper divisors (10715380).

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

6848600 is a wasteful number, since it uses less digits than its factorization.

6848600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 6848600 is about 2616.9829957415. The cubic root of 6848600 is about 189.9039218764.

Multiplying 6848600 by its reverse (68486), we get a square (469033219600 = 684860²).

6848600 divided by its reverse (68486) gives a square (100 = 10²).

The spelling of 6848600 in words is "six million, eight hundred forty-eight thousand, six hundred".