871824 has 40 divisors (see below), whose sum is σ = 2312352. Its totient is φ = 282880.

The previous prime is 871823. The next prime is 871837. The reversal of 871824 is 428178.

It is a junction number, because it is equal to n+sod(n) for n = 871791 and 871800.

It is not an unprimeable number, because it can be changed into a prime (871823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1747 + ... + 2189.

2⁸⁷¹⁸²⁴ 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 871824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156176).

871824 is an abundant number, since it is smaller than the sum of its proper divisors (1440528).

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

871824 is a wasteful number, since it uses less digits than its factorization.

871824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 489 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 871824 is about 933.7151599926. The cubic root of 871824 is about 95.5306956141.

The spelling of 871824 in words is "eight hundred seventy-one thousand, eight hundred twenty-four".