878688 has 72 divisors (see below), whose sum is σ = 2614248. Its totient is φ = 290304.

The previous prime is 878681. The next prime is 878699. The reversal of 878688 is 886878.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878681) by changing a digit.

878688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7720 + ... + 7832.

It is an arithmetic number, because the mean of its divisors is an integer number (36309).

2⁸⁷⁸⁶⁸⁸ 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 878688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307124).

878688 is an abundant number, since it is smaller than the sum of its proper divisors (1735560).

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

878688 is a wasteful number, since it uses less digits than its factorization.

878688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 118 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 878688 is about 937.3835927730. The cubic root of 878688 is about 95.7807496446.

The spelling of 878688 in words is "eight hundred seventy-eight thousand, six hundred eighty-eight".