871560 has 80 divisors (see below), whose sum is σ = 2940300. Its totient is φ = 231552.

The previous prime is 871553. The next prime is 871571. The reversal of 871560 is 65178.

It can be written as a sum of positive squares in 2 ways, for example, as 777924 + 93636 = 882^2 + 306^2 .

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

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 871560.

It is an unprimeable number.

871560 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 19 ways as a sum of consecutive naturals, for example, 3106 + ... + 3374.

2⁸⁷¹⁵⁶⁰ 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 871560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470150).

871560 is an abundant number, since it is smaller than the sum of its proper divisors (2068740).

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

871560 is a wasteful number, since it uses less digits than its factorization.

871560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 871560 is about 933.5737785521. The cubic root of 871560 is about 95.5210519821.

It can be divided in two parts, 871 and 560, that added together give a triangular number (1431 = T₅₃).

The spelling of 871560 in words is "eight hundred seventy-one thousand, five hundred sixty".