871961580 has 144 divisors (see below), whose sum is σ = 3043482624. Its totient is φ = 197942400.

The previous prime is 871961549. The next prime is 871961581. The reversal of 871961580 is 85169178.

871961580 is a `hidden beast` number, since 8 + 7 + 1 + 9 + 61 + 580 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (871961581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187969 + ... + 192551.

It is an arithmetic number, because the mean of its divisors is an integer number (21135296).

Almost surely, 2^871961580 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 871961580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521741312).

871961580 is an abundant number, since it is smaller than the sum of its proper divisors (2171521044).

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

871961580 is a wasteful number, since it uses less digits than its factorization.

871961580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4756 (or 4751 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 871961580 is about 29528.9955806153. The cubic root of 871961580 is about 955.3572048989.

The spelling of 871961580 in words is "eight hundred seventy-one million, nine hundred sixty-one thousand, five hundred eighty".