11091968 has 30 divisors (see below), whose sum is σ = 22216026. Its totient is φ = 5537792.

The previous prime is 11091959. The next prime is 11092001. The reversal of 11091968 is 86919011.

It can be written as a sum of positive squares in only one way, i.e., 11075584 + 16384 = 3328^2 + 128^2 .

It is a super-2 number, since 2×11091968² = 246063508226048, which contains 22 as substring.

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16046 + ... + 16722.

Almost surely, 2^11091968 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 11091968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11108013).

11091968 is an abundant number, since it is smaller than the sum of its proper divisors (11124058).

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

11091968 is an frugal number, since it uses more digits than its factorization.

11091968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 35.

The square root of 11091968 is about 3330.4606288020. The cubic root of 11091968 is about 223.0160927342.

The spelling of 11091968 in words is "eleven million, ninety-one thousand, nine hundred sixty-eight".