6828640 has 144 divisors (see below), whose sum is σ = 20511792. Its totient is φ = 2128896.

The previous prime is 6828623. The next prime is 6828641. The reversal of 6828640 is 468286.

It is a junction number, because it is equal to n+sod(n) for n = 6828596 and 6828605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6828641) 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, 101887 + ... + 101953.

It is an arithmetic number, because the mean of its divisors is an integer number (142443).

Almost surely, 2^6828640 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 6828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10255896).

6828640 is an abundant number, since it is smaller than the sum of its proper divisors (13683152).

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

6828640 is a wasteful number, since it uses less digits than its factorization.

6828640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 6828640 is about 2613.1666613517. The cubic root of 6828640 is about 189.7192529580.

The spelling of 6828640 in words is "six million, eight hundred twenty-eight thousand, six hundred forty".