871584 has 48 divisors (see below), whose sum is σ = 2616768. Its totient is φ = 248832.

The previous prime is 871571. The next prime is 871589. The reversal of 871584 is 485178.

871584 = T₁₃₂ + T₁₃₃ + ... + T₁₉₅.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 871584.

It is not an unprimeable number, because it can be changed into a prime (871589) 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, 24 + ... + 1320.

It is an arithmetic number, because the mean of its divisors is an integer number (54516).

2⁸⁷¹⁵⁸⁴ is an apocalyptic number.

871584 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308384).

871584 is an abundant number, since it is smaller than the sum of its proper divisors (1745184).

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

871584 is a wasteful number, since it uses less digits than its factorization.

871584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1309 counting only the distinct ones).

The product of its digits is 8960, while the sum is 33.

The square root of 871584 is about 933.5866322950. The cubic root of 871584 is about 95.5219287563.

The spelling of 871584 in words is "eight hundred seventy-one thousand, five hundred eighty-four".