10889964 has 120 divisors (see below), whose sum is σ = 31508400. Its totient is φ = 3265920.

The previous prime is 10889953. The next prime is 10889981. The reversal of 10889964 is 46998801.

10889964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178494 + ... + 178554.

It is an arithmetic number, because the mean of its divisors is an integer number (262570).

Almost surely, 2^10889964 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 10889964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15754200).

10889964 is an abundant number, since it is smaller than the sum of its proper divisors (20618436).

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

10889964 is a wasteful number, since it uses less digits than its factorization.

10889964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 10889964 is about 3299.9945454500. The cubic root of 10889964 is about 221.6539532033.

The spelling of 10889964 in words is "ten million, eight hundred eighty-nine thousand, nine hundred sixty-four".