871812648 has 96 divisors (see below), whose sum is σ = 2771458560. Its totient is φ = 242352000.

The previous prime is 871812553. The next prime is 871812653. The reversal of 871812648 is 846218178.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 23 ways as a sum of consecutive naturals, for example, 4728 + ... + 42023.

It is an arithmetic number, because the mean of its divisors is an integer number (28869360).

Almost surely, 2^871812648 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 871812648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385729280).

871812648 is an abundant number, since it is smaller than the sum of its proper divisors (1899645912).

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

871812648 is a wasteful number, since it uses less digits than its factorization.

871812648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46807 (or 46800 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 871812648 is about 29526.4736804109. The cubic root of 871812648 is about 955.3028097803.

The spelling of 871812648 in words is "eight hundred seventy-one million, eight hundred twelve thousand, six hundred forty-eight".