871599408 has 80 divisors (see below), whose sum is σ = 2362348800. Its totient is φ = 276532480.

The previous prime is 871599403. The next prime is 871599427. The reversal of 871599408 is 804995178.

It is not an unprimeable number, because it can be changed into a prime (871599403) 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, 94423 + ... + 103241.

It is an arithmetic number, because the mean of its divisors is an integer number (29529360).

Almost surely, 2^871599408 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 871599408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181174400).

871599408 is an abundant number, since it is smaller than the sum of its proper divisors (1490749392).

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

871599408 is a wasteful number, since it uses less digits than its factorization.

871599408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8930 (or 8924 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The square root of 871599408 is about 29522.8624628439. The cubic root of 871599408 is about 955.2249163695.

The spelling of 871599408 in words is "eight hundred seventy-one million, five hundred ninety-nine thousand, four hundred eight".