871409664 has 288 divisors, whose sum is σ = 2790365760. Its totient is φ = 270729216.

The previous prime is 871409639. The next prime is 871409677. The reversal of 871409664 is 466904178.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8460237 + ... + 8460339.

It is an arithmetic number, because the mean of its divisors is an integer number (9688770).

Almost surely, 2^871409664 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 871409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395182880).

871409664 is an abundant number, since it is smaller than the sum of its proper divisors (1918956096).

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

871409664 is a wasteful number, since it uses less digits than its factorization.

871409664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 871409664 is about 29519.6487783984. The cubic root of 871409664 is about 955.1555950166.

The spelling of 871409664 in words is "eight hundred seventy-one million, four hundred nine thousand, six hundred sixty-four".