871057920 has 160 divisors (see below), whose sum is σ = 2881422720. Its totient is φ = 224215040.

The previous prime is 871057867. The next prime is 871057921. The reversal of 871057920 is 29750178.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (871057921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220765 + ... + 224675.

It is an arithmetic number, because the mean of its divisors is an integer number (18008892).

Almost surely, 2^871057920 is an apocalyptic number.

871057920 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 871057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440711360).

871057920 is an abundant number, since it is smaller than the sum of its proper divisors (2010364800).

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

871057920 is a wasteful number, since it uses less digits than its factorization.

871057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 871057920 is about 29513.6903826004. The cubic root of 871057920 is about 955.0270617223.

The spelling of 871057920 in words is "eight hundred seventy-one million, fifty-seven thousand, nine hundred twenty".