876928 has 64 divisors (see below), whose sum is σ = 2056320. Its totient is φ = 368640.

The previous prime is 876913. The next prime is 876929. The reversal of 876928 is 829678.

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

It is a d-powerful number, because it can be written as 8 + 7 + 9⁶ + 6⁷ + 2¹⁵ + 8⁵ .

Its product of digits (48384) is a multiple of the sum of its prime divisors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876929) by changing a digit.

876928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28273 + ... + 28303.

It is an arithmetic number, because the mean of its divisors is an integer number (32130).

2⁸⁷⁶⁹²⁸ 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 876928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028160).

876928 is an abundant number, since it is smaller than the sum of its proper divisors (1179392).

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

876928 is a wasteful number, since it uses less digits than its factorization.

876928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 63 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 876928 is about 936.4443389759. Note that the first 3 decimals coincide. The cubic root of 876928 is about 95.7167577250.

The spelling of 876928 in words is "eight hundred seventy-six thousand, nine hundred twenty-eight".