855168 has 64 divisors (see below), whose sum is σ = 2423520. Its totient is φ = 266240.

The previous prime is 855143. The next prime is 855187. The reversal of 855168 is 861558.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6463 + ... + 6593.

2⁸⁵⁵¹⁶⁸ 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 855168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211760).

855168 is an abundant number, since it is smaller than the sum of its proper divisors (1568352).

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

855168 is a wasteful number, since it uses less digits than its factorization.

855168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

The square root of 855168 is about 924.7529399791. The cubic root of 855168 is about 94.9184156447.

It can be divided in two parts, 85 and 5168, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 855168 in words is "eight hundred fifty-five thousand, one hundred sixty-eight".