871606008 has 288 divisors, whose sum is σ = 3037507200. Its totient is φ = 229267584.

The previous prime is 871606007. The next prime is 871606009. The reversal of 871606008 is 800606178.

It is an interprime number because it is at equal distance from previous prime (871606007) and next prime (871606009).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871606007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2299563 + ... + 2299941.

It is an arithmetic number, because the mean of its divisors is an integer number (10546900).

Almost surely, 2^871606008 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 871606008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518753600).

871606008 is an abundant number, since it is smaller than the sum of its proper divisors (2165901192).

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

871606008 is a wasteful number, since it uses less digits than its factorization.

871606008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 871606008 is about 29522.9742404115. The cubic root of 871606008 is about 955.2273274422.

The spelling of 871606008 in words is "eight hundred seventy-one million, six hundred six thousand, eight".