6831920 has 80 divisors (see below), whose sum is σ = 17141760. Its totient is φ = 2525952.

The previous prime is 6831919. The next prime is 6831941. The reversal of 6831920 is 291386.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86441 + ... + 86519.

It is an arithmetic number, because the mean of its divisors is an integer number (214272).

Almost surely, 2^6831920 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 6831920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570880).

6831920 is an abundant number, since it is smaller than the sum of its proper divisors (10309840).

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

6831920 is a wasteful number, since it uses less digits than its factorization.

6831920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 6831920 is about 2613.7941770537. The cubic root of 6831920 is about 189.7496240394.

The spelling of 6831920 in words is "six million, eight hundred thirty-one thousand, nine hundred twenty".