871319904 has 192 divisors, whose sum is σ = 2981131776. Its totient is φ = 216244224.

The previous prime is 871319899. The next prime is 871319909. The reversal of 871319904 is 409913178.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (871319899) and next prime (871319909).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871319909) 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, 145579 + ... + 151445.

It is an arithmetic number, because the mean of its divisors is an integer number (15526728).

Almost surely, 2^871319904 is an apocalyptic number.

871319904 is a gapful number since it is divisible by the number (84) 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 871319904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490565888).

871319904 is an abundant number, since it is smaller than the sum of its proper divisors (2109811872).

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

871319904 is a wasteful number, since it uses less digits than its factorization.

871319904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5917 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 871319904 is about 29518.1283959536. The cubic root of 871319904 is about 955.1227984597.

The spelling of 871319904 in words is "eight hundred seventy-one million, three hundred nineteen thousand, nine hundred four".