871116120 has 576 divisors, whose sum is σ = 3585254400. Its totient is φ = 189423360.

The previous prime is 871116101. The next prime is 871116121. The reversal of 871116120 is 21611178.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871116121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14764651 + ... + 14764709.

It is an arithmetic number, because the mean of its divisors is an integer number (6224400).

Almost surely, 2^871116120 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 871116120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792627200).

871116120 is an abundant number, since it is smaller than the sum of its proper divisors (2714138280).

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

871116120 is a wasteful number, since it uses less digits than its factorization.

871116120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 871116120 is about 29514.6763492334. The cubic root of 871116120 is about 955.0483313898.

Adding to 871116120 its reverse (21611178), we get a palindrome (892727298).

The spelling of 871116120 in words is "eight hundred seventy-one million, one hundred sixteen thousand, one hundred twenty".