871344 has 40 divisors (see below), whose sum is σ = 2502320. Its totient is φ = 290304.

The previous prime is 871337. The next prime is 871349. The reversal of 871344 is 443178.

871344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871349) by changing a digit.

871344 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577 + ... + 1440.

It is an arithmetic number, because the mean of its divisors is an integer number (62558).

2⁸⁷¹³⁴⁴ is an apocalyptic number.

It is an amenable number.

871344 is an abundant number, since it is smaller than the sum of its proper divisors (1630976).

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

871344 is a wasteful number, since it uses less digits than its factorization.

871344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2022 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 871344 is about 933.4580869005. The cubic root of 871344 is about 95.5131602890.

It can be divided in two parts, 87 and 1344, that added together give a triangular number (1431 = T₅₃).

The spelling of 871344 in words is "eight hundred seventy-one thousand, three hundred forty-four".