6833920 has 72 divisors (see below), whose sum is σ = 17292240. Its totient is φ = 2580480.

The previous prime is 6833909. The next prime is 6833927. The reversal of 6833920 is 293386.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6833927) 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 7 ways as a sum of consecutive naturals, for example, 24180 + ... + 24460.

It is an arithmetic number, because the mean of its divisors is an integer number (240170).

Almost surely, 2^6833920 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 6833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8646120).

6833920 is an abundant number, since it is smaller than the sum of its proper divisors (10458320).

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

6833920 is a wasteful number, since it uses less digits than its factorization.

6833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 6833920 is about 2614.1767346528. The cubic root of 6833920 is about 189.7681382210.

The spelling of 6833920 in words is "six million, eight hundred thirty-three thousand, nine hundred twenty".