871486560 has 576 divisors, whose sum is σ = 3723148800. Its totient is φ = 189471744.

The previous prime is 871486541. The next prime is 871486591. The reversal of 871486560 is 65684178.

It is a happy number.

871486560 is a `hidden beast` number, since 8 + 7 + 1 + 4 + 86 + 560 = 666.

871486560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4868551 + ... + 4868729.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2^871486560 is an apocalyptic number.

871486560 is a gapful number since it is divisible by the number (80) 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 871486560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861574400).

871486560 is an abundant number, since it is smaller than the sum of its proper divisors (2851662240).

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

871486560 is a wasteful number, since it uses less digits than its factorization.

871486560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 871486560 is about 29520.9512041872. The cubic root of 871486560 is about 955.1836895273.

The spelling of 871486560 in words is "eight hundred seventy-one million, four hundred eighty-six thousand, five hundred sixty".