871566048 has 192 divisors, whose sum is σ = 2699827200. Its totient is φ = 272954880.

The previous prime is 871566041. The next prime is 871566077. The reversal of 871566048 is 840665178.

It is a happy number.

871566048 is a `hidden beast` number, since 87 + 1 + 566 + 0 + 4 + 8 = 666.

871566048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 871565994 and 871566012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871566041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1211833 + ... + 1212551.

It is an arithmetic number, because the mean of its divisors is an integer number (14061600).

Almost surely, 2^871566048 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 871566048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349913600).

871566048 is an abundant number, since it is smaller than the sum of its proper divisors (1828261152).

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

871566048 is a wasteful number, since it uses less digits than its factorization.

871566048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 871566048 is about 29522.2974715722. The cubic root of 871566048 is about 955.2127293069.

The spelling of 871566048 in words is "eight hundred seventy-one million, five hundred sixty-six thousand, forty-eight".