6871128 has 64 divisors (see below), whose sum is σ = 19854720. Its totient is φ = 1958400.

The previous prime is 6871127. The next prime is 6871133. The reversal of 6871128 is 8211786.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6871121) 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, 3723 + ... + 5253.

It is an arithmetic number, because the mean of its divisors is an integer number (310230).

Almost surely, 2^6871128 is an apocalyptic number.

6871128 is a gapful number since it is divisible by the number (68) 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 6871128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9927360).

6871128 is an abundant number, since it is smaller than the sum of its proper divisors (12983592).

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

6871128 is a wasteful number, since it uses less digits than its factorization.

6871128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1564 counting only the distinct ones).

The product of its digits is 5376, while the sum is 33.

The square root of 6871128 is about 2621.2836550057. The cubic root of 6871128 is about 190.1119192873. Note that the first 3 decimals are identical.

The spelling of 6871128 in words is "six million, eight hundred seventy-one thousand, one hundred twenty-eight".