871344936 has 192 divisors, whose sum is σ = 2983893120. Its totient is φ = 223119360.

The previous prime is 871344919. The next prime is 871344953. The reversal of 871344936 is 639443178.

It is an interprime number because it is at equal distance from previous prime (871344919) and next prime (871344953).

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

It is a junction number, because it is equal to n+sod(n) for n = 871344891 and 871344900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403636 + ... + 405788.

It is an arithmetic number, because the mean of its divisors is an integer number (15541110).

Almost surely, 2^871344936 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 871344936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491946560).

871344936 is an abundant number, since it is smaller than the sum of its proper divisors (2112548184).

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

871344936 is a wasteful number, since it uses less digits than its factorization.

871344936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2249 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 871344936 is about 29518.5524035309. The cubic root of 871344936 is about 955.1319448917.

The spelling of 871344936 in words is "eight hundred seventy-one million, three hundred forty-four thousand, nine hundred thirty-six".