10893984 has 48 divisors (see below), whose sum is σ = 29379168. Its totient is φ = 3532032.

The previous prime is 10893979. The next prime is 10893997. The reversal of 10893984 is 48939801.

It is a tau number, because it is divible by the number of its divisors (48).

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, 2019 + ... + 5085.

It is an arithmetic number, because the mean of its divisors is an integer number (612066).

Almost surely, 2^10893984 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 10893984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14689584).

10893984 is an abundant number, since it is smaller than the sum of its proper divisors (18485184).

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

10893984 is a wasteful number, since it uses less digits than its factorization.

10893984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 10893984 is about 3300.6035811651. The cubic root of 10893984 is about 221.6812241619.

The spelling of 10893984 in words is "ten million, eight hundred ninety-three thousand, nine hundred eighty-four".