871048640 has 448 divisors, whose sum is σ = 2844149760. Its totient is φ = 246005760.

The previous prime is 871048637. The next prime is 871048667. The reversal of 871048640 is 46840178.

871048640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 871048594 and 871048603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16434854 + ... + 16434906.

Almost surely, 2^871048640 is an apocalyptic number.

871048640 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 871048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422074880).

871048640 is an abundant number, since it is smaller than the sum of its proper divisors (1973101120).

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

871048640 is a wasteful number, since it uses less digits than its factorization.

871048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 871048640 is about 29513.5331670066. The cubic root of 871048640 is about 955.0236701826.

The spelling of 871048640 in words is "eight hundred seventy-one million, forty-eight thousand, six hundred forty".