6849920 has 128 divisors (see below), whose sum is σ = 20563200. Its totient is φ = 2119680.

The previous prime is 6849919. The next prime is 6849923. The reversal of 6849920 is 299486.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6849923) 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 15 ways as a sum of consecutive naturals, for example, 49211 + ... + 49349.

It is an arithmetic number, because the mean of its divisors is an integer number (160650).

Almost surely, 2^6849920 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 6849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10281600).

6849920 is an abundant number, since it is smaller than the sum of its proper divisors (13713280).

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

6849920 is a wasteful number, since it uses less digits than its factorization.

6849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 6849920 is about 2617.2351824015. The cubic root of 6849920 is about 189.9161217943.

The spelling of 6849920 in words is "six million, eight hundred forty-nine thousand, nine hundred twenty".