871014240 has 144 divisors (see below), whose sum is σ = 3000645648. Its totient is φ = 230059008.

The previous prime is 871014167. The next prime is 871014241. The reversal of 871014240 is 42410178.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871014241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151254 + ... + 156906.

It is an arithmetic number, because the mean of its divisors is an integer number (20837817).

Almost surely, 2^871014240 is an apocalyptic number.

871014240 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 871014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500322824).

871014240 is an abundant number, since it is smaller than the sum of its proper divisors (2129631408).

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

871014240 is a wasteful number, since it uses less digits than its factorization.

871014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5781 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 871014240 is about 29512.9503777579. The cubic root of 871014240 is about 955.0110978855.

The spelling of 871014240 in words is "eight hundred seventy-one million, fourteen thousand, two hundred forty".