871081900 has 144 divisors (see below), whose sum is σ = 2128301280. Its totient is φ = 307353600.

The previous prime is 871081877. The next prime is 871081907. The reversal of 871081900 is 9180178.

It is a super-2 number, since 2×871081900² = 1517567353015220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (871081907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3144562 + ... + 3144838.

It is an arithmetic number, because the mean of its divisors is an integer number (14779870).

Almost surely, 2^871081900 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 871081900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064150640).

871081900 is an abundant number, since it is smaller than the sum of its proper divisors (1257219380).

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

871081900 is a wasteful number, since it uses less digits than its factorization.

871081900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 34.

The square root of 871081900 is about 29514.0966319486. The cubic root of 871081900 is about 955.0358255248.

The spelling of 871081900 in words is "eight hundred seventy-one million, eighty-one thousand, nine hundred".