871580160 has 480 divisors, whose sum is σ = 3485401920. Its totient is φ = 199065600.

The previous prime is 871580137. The next prime is 871580189. The reversal of 871580160 is 61085178.

871580160 is a `hidden beast` number, since 8 + 71 + 580 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4815270 + ... + 4815450.

It is an arithmetic number, because the mean of its divisors is an integer number (7261254).

Almost surely, 2^871580160 is an apocalyptic number.

871580160 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 871580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742700960).

871580160 is an abundant number, since it is smaller than the sum of its proper divisors (2613821760).

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

871580160 is a wasteful number, since it uses less digits than its factorization.

871580160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 871580160 is about 29522.5364763938. The cubic root of 871580160 is about 955.2178847354.

The spelling of 871580160 in words is "eight hundred seventy-one million, five hundred eighty thousand, one hundred sixty".