6786336 has 48 divisors (see below), whose sum is σ = 17950464. Its totient is φ = 2244864.

The previous prime is 6786323. The next prime is 6786341. The reversal of 6786336 is 6336876.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 6786294 and 6786303.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21250 + ... + 21566.

It is an arithmetic number, because the mean of its divisors is an integer number (373968).

Almost surely, 2^6786336 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 6786336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8975232).

6786336 is an abundant number, since it is smaller than the sum of its proper divisors (11164128).

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

6786336 is a wasteful number, since it uses less digits than its factorization.

6786336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 545 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 6786336 is about 2605.0596922144. The cubic root of 6786336 is about 189.3266655502.

The spelling of 6786336 in words is "six million, seven hundred eighty-six thousand, three hundred thirty-six".