871835952 has 80 divisors (see below), whose sum is σ = 2442031200. Its totient is φ = 266428416.

The previous prime is 871835933. The next prime is 871835963. The reversal of 871835952 is 259538178.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88288 + ... + 97664.

It is an arithmetic number, because the mean of its divisors is an integer number (30525390).

Almost surely, 2^871835952 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 871835952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221015600).

871835952 is an abundant number, since it is smaller than the sum of its proper divisors (1570195248).

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

871835952 is a wasteful number, since it uses less digits than its factorization.

871835952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9550 (or 9544 counting only the distinct ones).

The product of its digits is 604800, while the sum is 48.

The square root of 871835952 is about 29526.8683066796. The cubic root of 871835952 is about 955.3113216161.

The spelling of 871835952 in words is "eight hundred seventy-one million, eight hundred thirty-five thousand, nine hundred fifty-two".