871411824 has 80 divisors (see below), whose sum is σ = 2508068640. Its totient is φ = 289681920.

The previous prime is 871411811. The next prime is 871411831. The reversal of 871411824 is 428114178.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168964 + ... + 174044.

It is an arithmetic number, because the mean of its divisors is an integer number (31350858).

Almost surely, 2^871411824 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 871411824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254034320).

871411824 is an abundant number, since it is smaller than the sum of its proper divisors (1636656816).

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

871411824 is a wasteful number, since it uses less digits than its factorization.

871411824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5495 (or 5483 counting only the distinct ones).

The product of its digits is 14336, while the sum is 36.

The square root of 871411824 is about 29519.6853641769. The cubic root of 871411824 is about 955.1563842108.

The spelling of 871411824 in words is "eight hundred seventy-one million, four hundred eleven thousand, eight hundred twenty-four".