871339392 has 576 divisors, whose sum is σ = 3386073600. Its totient is φ = 209848320.

The previous prime is 871339387. The next prime is 871339393. The reversal of 871339392 is 293933178.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871339393) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18539113 + ... + 18539159.

It is an arithmetic number, because the mean of its divisors is an integer number (5878600).

Almost surely, 2^871339392 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 871339392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693036800).

871339392 is an abundant number, since it is smaller than the sum of its proper divisors (2514734208).

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

871339392 is a wasteful number, since it uses less digits than its factorization.

871339392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 871339392 is about 29518.4584963375. The cubic root of 871339392 is about 955.1299191870.

The spelling of 871339392 in words is "eight hundred seventy-one million, three hundred thirty-nine thousand, three hundred ninety-two".