871488 has 84 divisors (see below), whose sum is σ = 2674620. Its totient is φ = 270336.

The previous prime is 871477. The next prime is 871513. The reversal of 871488 is 884178.

It can be written as a sum of positive squares in 2 ways, for example, as 419904 + 451584 = 648^2 + 672^2 .

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9748 + ... + 9836.

2⁸⁷¹⁴⁸⁸ 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 871488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337310).

871488 is an abundant number, since it is smaller than the sum of its proper divisors (1803132).

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

871488 is a wasteful number, since it uses less digits than its factorization.

871488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

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

The square root of 871488 is about 933.5352162613. The cubic root of 871488 is about 95.5184215626.

The spelling of 871488 in words is "eight hundred seventy-one thousand, four hundred eighty-eight".