871056900 has 324 divisors, whose sum is σ = 3301788672. Its totient is φ = 188127360.

The previous prime is 871056887. The next prime is 871056913. The reversal of 871056900 is 9650178.

871056900 is a `hidden beast` number, since 87 + 10 + 569 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (871056887) and next prime (871056913).

It is a super-2 number, since 2×871056900² = 1517480246075220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2274109 + ... + 2274491.

Almost surely, 2^871056900 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 871056900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650894336).

871056900 is an abundant number, since it is smaller than the sum of its proper divisors (2430731772).

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

871056900 is a wasteful number, since it uses less digits than its factorization.

871056900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 871056900 is about 29513.6731024791. The cubic root of 871056900 is about 955.0266889465.

The spelling of 871056900 in words is "eight hundred seventy-one million, fifty-six thousand, nine hundred".