6976128 has 64 divisors (see below), whose sum is σ = 19069920. Its totient is φ = 2257920.

The previous prime is 6976127. The next prime is 6976139. The reversal of 6976128 is 8216796.

6976128 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (6976121) 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, 13963 + ... + 14453.

Almost surely, 2^6976128 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 6976128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9534960).

6976128 is an abundant number, since it is smaller than the sum of its proper divisors (12093792).

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

6976128 is a wasteful number, since it uses less digits than its factorization.

6976128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 6976128 is about 2641.2360742652. The cubic root of 6976128 is about 191.0754158841.

The spelling of 6976128 in words is "six million, nine hundred seventy-six thousand, one hundred twenty-eight".