876128 has 48 divisors (see below), whose sum is σ = 1995840. Its totient is φ = 374400.

The previous prime is 876121. The next prime is 876131. The reversal of 876128 is 821678.

876128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 876094 and 876103.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 876128.

It is not an unprimeable number, because it can be changed into a prime (876121) 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, 6623 + ... + 6753.

It is an arithmetic number, because the mean of its divisors is an integer number (41580).

2⁸⁷⁶¹²⁸ is an apocalyptic number.

876128 is a gapful number since it is divisible by the number (88) 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 876128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997920).

876128 is an abundant number, since it is smaller than the sum of its proper divisors (1119712).

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

876128 is a wasteful number, since it uses less digits than its factorization.

876128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 163 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 876128 is about 936.0170938610. The cubic root of 876128 is about 95.6876421825.

Subtracting from 876128 its sum of digits (32), we obtain a square (876096 = 936²).

The spelling of 876128 in words is "eight hundred seventy-six thousand, one hundred twenty-eight".