871020040 has 128 divisors (see below), whose sum is σ = 2303769600. Its totient is φ = 292965120.

The previous prime is 871019957. The next prime is 871020043. The reversal of 871020040 is 40020178.

871020040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 871019993 and 871020020.

It is not an unprimeable number, because it can be changed into a prime (871020043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358269 + ... + 360691.

It is an arithmetic number, because the mean of its divisors is an integer number (17998200).

Almost surely, 2^871020040 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 871020040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1151884800).

871020040 is an abundant number, since it is smaller than the sum of its proper divisors (1432749560).

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

871020040 is a wasteful number, since it uses less digits than its factorization.

871020040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2507 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 871020040 is about 29513.0486395425. The cubic root of 871020040 is about 955.0132176565.

The spelling of 871020040 in words is "eight hundred seventy-one million, twenty thousand, forty".