871641456 has 80 divisors (see below), whose sum is σ = 2617094400. Its totient is φ = 244813824.

The previous prime is 871641451. The next prime is 871641479. The reversal of 871641456 is 654146178.

871641456 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871641451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2161 + ... + 41808.

It is an arithmetic number, because the mean of its divisors is an integer number (32713680).

Almost surely, 2^871641456 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 871641456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308547200).

871641456 is an abundant number, since it is smaller than the sum of its proper divisors (1745452944).

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

871641456 is a wasteful number, since it uses less digits than its factorization.

871641456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44046 (or 44040 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 871641456 is about 29523.5745803248. The cubic root of 871641456 is about 955.2402768861.

The spelling of 871641456 in words is "eight hundred seventy-one million, six hundred forty-one thousand, four hundred fifty-six".