871281216 has 168 divisors, whose sum is σ = 2806964160. Its totient is φ = 256379904.

The previous prime is 871281163. The next prime is 871281227. The reversal of 871281216 is 612182178.

871281216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169695 + ... + 174753.

It is an arithmetic number, because the mean of its divisors is an integer number (16708120).

Almost surely, 2^871281216 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 871281216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403482080).

871281216 is an abundant number, since it is smaller than the sum of its proper divisors (1935682944).

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

871281216 is a wasteful number, since it uses less digits than its factorization.

871281216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5100 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 871281216 is about 29517.4730625777. The cubic root of 871281216 is about 955.1086619228.

The spelling of 871281216 in words is "eight hundred seventy-one million, two hundred eighty-one thousand, two hundred sixteen".