887168 has 32 divisors (see below), whose sum is σ = 1836000. Its totient is φ = 426496.

The previous prime is 887153. The next prime is 887171. The reversal of 887168 is 861788.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

887168 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 3 ways as a sum of consecutive naturals, for example, 3593 + ... + 3831.

It is an arithmetic number, because the mean of its divisors is an integer number (57375).

2⁸⁸⁷¹⁶⁸ 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 887168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918000).

887168 is an abundant number, since it is smaller than the sum of its proper divisors (948832).

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

887168 is a wasteful number, since it uses less digits than its factorization.

887168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its digits is 21504, while the sum is 38.

The square root of 887168 is about 941.8959602844. The cubic root of 887168 is about 96.0878824870.

The spelling of 887168 in words is "eight hundred eighty-seven thousand, one hundred sixty-eight".