871341120 has 504 divisors, whose sum is σ = 3512310984. Its totient is φ = 196411392.

The previous prime is 871341109. The next prime is 871341127. The reversal of 871341120 is 21143178.

It can be written as a sum of positive squares in 12 ways, for example, as 2742336 + 868598784 = 1656^2 + 29472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871341127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23549742 + ... + 23549778.

It is an arithmetic number, because the mean of its divisors is an integer number (6968871).

Almost surely, 2^871341120 is an apocalyptic number.

871341120 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 871341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756155492).

871341120 is an abundant number, since it is smaller than the sum of its proper divisors (2640969864).

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

871341120 is a wasteful number, since it uses less digits than its factorization.

871341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 871341120 is about 29518.4877661441. The cubic root of 871341120 is about 955.1305505764.

Adding to 871341120 its reverse (21143178), we get a palindrome (892484298).

The spelling of 871341120 in words is "eight hundred seventy-one million, three hundred forty-one thousand, one hundred twenty".