6819904 has 56 divisors (see below), whose sum is σ = 16670528. Its totient is φ = 2695680.

The previous prime is 6819893. The next prime is 6819913. The reversal of 6819904 is 4099186.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×6819904² = 93022181138432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5239 + ... + 6409.

It is an arithmetic number, because the mean of its divisors is an integer number (297688).

Almost surely, 2^6819904 is an apocalyptic number.

6819904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6819904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335264).

6819904 is an abundant number, since it is smaller than the sum of its proper divisors (9850624).

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

6819904 is a wasteful number, since it uses less digits than its factorization.

6819904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 6819904 is about 2611.4945912255. The cubic root of 6819904 is about 189.6383147004.

It can be divided in two parts, 681 and 9904, that added together give a triangular number (10585 = T₁₄₅).

The spelling of 6819904 in words is "six million, eight hundred nineteen thousand, nine hundred four".