10871664 has 80 divisors (see below), whose sum is σ = 29521920. Its totient is φ = 3444480.

The previous prime is 10871639. The next prime is 10871677. The reversal of 10871664 is 46617801.

It is a happy number.

10871664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137577 + ... + 137655.

It is an arithmetic number, because the mean of its divisors is an integer number (369024).

Almost surely, 2^10871664 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 10871664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14760960).

10871664 is an abundant number, since it is smaller than the sum of its proper divisors (18650256).

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

10871664 is a wasteful number, since it uses less digits than its factorization.

10871664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10871664 is about 3297.2206477577. The cubic root of 10871664 is about 221.5297244002.

The spelling of 10871664 in words is "ten million, eight hundred seventy-one thousand, six hundred sixty-four".