11291968 has 28 divisors (see below), whose sum is σ = 22837140. Its totient is φ = 5537792.

The previous prime is 11291957. The next prime is 11291981. The reversal of 11291968 is 86919211.

It can be written as a sum of positive squares in 2 ways, for example, as 6310144 + 4981824 = 2512^2 + 2232^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1728 + ... + 5056.

Almost surely, 2^11291968 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 11291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11418570).

11291968 is an abundant number, since it is smaller than the sum of its proper divisors (11545172).

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

11291968 is an equidigital number, since it uses as much as digits as its factorization.

11291968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3384 counting only the distinct ones).

The product of its digits is 7776, while the sum is 37.

The square root of 11291968 is about 3360.3523624763. The cubic root of 11291968 is about 224.3485220784.

The spelling of 11291968 in words is "eleven million, two hundred ninety-one thousand, nine hundred sixty-eight".