871264 has 24 divisors (see below), whose sum is σ = 1806840. Its totient is φ = 412416.

The previous prime is 871259. The next prime is 871271. The reversal of 871264 is 462178.

It is a d-powerful number, because it can be written as 8 + 7⁷ + 2⁵ + 1 + 6⁶ + 4⁵ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 109 + ... + 1324.

It is an arithmetic number, because the mean of its divisors is an integer number (75285).

2⁸⁷¹²⁶⁴ is an apocalyptic number.

It is an amenable number.

871264 is an abundant number, since it is smaller than the sum of its proper divisors (935576).

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

871264 is a wasteful number, since it uses less digits than its factorization.

871264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1454 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 871264 is about 933.4152345018. The cubic root of 871264 is about 95.5102371088.

The spelling of 871264 in words is "eight hundred seventy-one thousand, two hundred sixty-four".