6784128 has 128 divisors (see below), whose sum is σ = 21705600. Its totient is φ = 2073600.

The previous prime is 6784123. The next prime is 6784157. The reversal of 6784128 is 8214876.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6784092 and 6784101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6784123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44853 + ... + 45003.

It is an arithmetic number, because the mean of its divisors is an integer number (169575).

Almost surely, 2^6784128 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 6784128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10852800).

6784128 is an abundant number, since it is smaller than the sum of its proper divisors (14921472).

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

6784128 is a wasteful number, since it uses less digits than its factorization.

6784128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 169 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 6784128 is about 2604.6358670647. The cubic root of 6784128 is about 189.3061302362.

The spelling of 6784128 in words is "six million, seven hundred eighty-four thousand, one hundred twenty-eight".