10985664 has 56 divisors (see below), whose sum is σ = 30083760. Its totient is φ = 3533824.

The previous prime is 10985659. The next prime is 10985677. The reversal of 10985664 is 46658901.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4582 + ... + 6554.

It is an arithmetic number, because the mean of its divisors is an integer number (537210).

Almost surely, 2^10985664 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 10985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15041880).

10985664 is an abundant number, since it is smaller than the sum of its proper divisors (19098096).

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

10985664 is a wasteful number, since it uses less digits than its factorization.

10985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 10985664 is about 3314.4628524091. The cubic root of 10985664 is about 222.3013519680.

The spelling of 10985664 in words is "ten million, nine hundred eighty-five thousand, six hundred sixty-four".