871605672 has 192 divisors, whose sum is σ = 2675712000. Its totient is φ = 231517440.

The previous prime is 871605649. The next prime is 871605719. The reversal of 871605672 is 276506178.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4379829 + ... + 4380027.

It is an arithmetic number, because the mean of its divisors is an integer number (13936000).

Almost surely, 2^871605672 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 871605672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337856000).

871605672 is an abundant number, since it is smaller than the sum of its proper divisors (1804106328).

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

871605672 is a wasteful number, since it uses less digits than its factorization.

871605672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 871605672 is about 29522.9685499274. The cubic root of 871605672 is about 955.2272046970.

The spelling of 871605672 in words is "eight hundred seventy-one million, six hundred five thousand, six hundred seventy-two".