6760128 has 56 divisors (see below), whose sum is σ = 18086832. Its totient is φ = 2228224.

The previous prime is 6760111. The next prime is 6760129. The reversal of 6760128 is 8210676.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6760095 and 6760104.

It is not an unprimeable number, because it can be changed into a prime (6760129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26176 + ... + 26432.

Almost surely, 2^6760128 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 6760128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9043416).

6760128 is an abundant number, since it is smaller than the sum of its proper divisors (11326704).

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

6760128 is a wasteful number, since it uses less digits than its factorization.

6760128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 6760128 is about 2600.0246152681. The cubic root of 6760128 is about 189.0826323255.

The spelling of 6760128 in words is "six million, seven hundred sixty thousand, one hundred twenty-eight".