871656000 has 112 divisors (see below), whose sum is σ = 2878287360. Its totient is φ = 232435200.

The previous prime is 871655969. The next prime is 871656007. The reversal of 871656000 is 656178.

It is not an unprimeable number, because it can be changed into a prime (871656007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5841 + ... + 42159.

Almost surely, 2^871656000 is an apocalyptic number.

871656000 is a gapful number since it is divisible by the number (80) 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 871656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439143680).

871656000 is an abundant number, since it is smaller than the sum of its proper divisors (2006631360).

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

871656000 is a wasteful number, since it uses less digits than its factorization.

871656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36349 (or 36329 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 871656000 is about 29523.8208909348. The cubic root of 871656000 is about 955.2455898265.

The spelling of 871656000 in words is "eight hundred seventy-one million, six hundred fifty-six thousand".