6804960 has 48 divisors (see below), whose sum is σ = 21437136. Its totient is φ = 1814528.

The previous prime is 6804953. The next prime is 6804997. The reversal of 6804960 is 694086.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6609 + ... + 7568.

It is an arithmetic number, because the mean of its divisors is an integer number (446607).

Almost surely, 2^6804960 is an apocalyptic number.

6804960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6804960 is an abundant number, since it is smaller than the sum of its proper divisors (14632176).

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

6804960 is a wasteful number, since it uses less digits than its factorization.

6804960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14195 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6804960 is about 2608.6318253061. The cubic root of 6804960 is about 189.4996994818.

The spelling of 6804960 in words is "six million, eight hundred four thousand, nine hundred sixty".