11083968 has 84 divisors (see below), whose sum is σ = 36322000. Its totient is φ = 3165696.

The previous prime is 11083967. The next prime is 11083987. The reversal of 11083968 is 86938011.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11083967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2658 + ... + 5406.

Almost surely, 2^11083968 is an apocalyptic number.

11083968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18161000).

11083968 is an abundant number, since it is smaller than the sum of its proper divisors (25238032).

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

11083968 is a wasteful number, since it uses less digits than its factorization.

11083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 11083968 is about 3329.2593770988. The cubic root of 11083968 is about 222.9624636024.

The spelling of 11083968 in words is "eleven million, eighty-three thousand, nine hundred sixty-eight".