11011968 has 144 divisors (see below), whose sum is σ = 35271600. Its totient is φ = 3294720.

The previous prime is 11011939. The next prime is 11011981. The reversal of 11011968 is 86911011.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 139353 + ... + 139431.

Almost surely, 2^11011968 is an apocalyptic number.

11011968 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 11011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17635800).

11011968 is an abundant number, since it is smaller than the sum of its proper divisors (24259632).

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

11011968 is a wasteful number, since it uses less digits than its factorization.

11011968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 11011968 is about 3318.4285437538. The cubic root of 11011968 is about 222.4786361678.

Adding to 11011968 its reverse (86911011), we get a palindrome (97922979).

The spelling of 11011968 in words is "eleven million, eleven thousand, nine hundred sixty-eight".