6838720 has 112 divisors (see below), whose sum is σ = 19312128. Its totient is φ = 2257920.

The previous prime is 6838703. The next prime is 6838729. The reversal of 6838720 is 278386.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6838729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96285 + ... + 96355.

Almost surely, 2^6838720 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 6838720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9656064).

6838720 is an abundant number, since it is smaller than the sum of its proper divisors (12473408).

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

6838720 is a wasteful number, since it uses less digits than its factorization.

6838720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 6838720 is about 2615.0946445588. The cubic root of 6838720 is about 189.8125575237.

The spelling of 6838720 in words is "six million, eight hundred thirty-eight thousand, seven hundred twenty".