876288 has 72 divisors (see below), whose sum is σ = 2681728. Its totient is φ = 248832.

The previous prime is 876287. The next prime is 876301. The reversal of 876288 is 882678.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876287) 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, 5295 + ... + 5457.

2⁸⁷⁶²⁸⁸ 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 876288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340864).

876288 is an abundant number, since it is smaller than the sum of its proper divisors (1805440).

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

876288 is a wasteful number, since it uses less digits than its factorization.

876288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 175 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 876288 is about 936.1025584838. The cubic root of 876288 is about 95.6934667085.

The spelling of 876288 in words is "eight hundred seventy-six thousand, two hundred eighty-eight".