871064064 has 320 divisors, whose sum is σ = 2873566080. Its totient is φ = 258785280.

The previous prime is 871064059. The next prime is 871064083. The reversal of 871064064 is 460460178.

871064064 is a `hidden beast` number, since 8 + 7 + 1 + 0 + 640 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6649279 + ... + 6649409.

It is an arithmetic number, because the mean of its divisors is an integer number (8979894).

Almost surely, 2^871064064 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 871064064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436783040).

871064064 is an abundant number, since it is smaller than the sum of its proper divisors (2002502016).

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

871064064 is a wasteful number, since it uses less digits than its factorization.

871064064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 871064064 is about 29513.7944697052. The cubic root of 871064064 is about 955.0293071422.

The spelling of 871064064 in words is "eight hundred seventy-one million, sixty-four thousand, sixty-four".