871900544 has 64 divisors (see below), whose sum is σ = 1855094400. Its totient is φ = 407285760.

The previous prime is 871900541. The next prime is 871900571. The reversal of 871900544 is 445009178.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 871900498 and 871900507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871900541) 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 7 ways as a sum of consecutive naturals, for example, 111284 + ... + 118860.

It is an arithmetic number, because the mean of its divisors is an integer number (28985850).

Almost surely, 2^871900544 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 871900544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927547200).

871900544 is an abundant number, since it is smaller than the sum of its proper divisors (983193856).

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

871900544 is a wasteful number, since it uses less digits than its factorization.

871900544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 871900544 is about 29527.9620698754. The cubic root of 871900544 is about 955.3349131893.

The spelling of 871900544 in words is "eight hundred seventy-one million, nine hundred thousand, five hundred forty-four".