11440968 has 128 divisors (see below), whose sum is σ = 36771840. Its totient is φ = 2880000.

The previous prime is 11440963. The next prime is 11440973. The reversal of 11440968 is 86904411.

It is an interprime number because it is at equal distance from previous prime (11440963) and next prime (11440973).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11440963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75693 + ... + 75843.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 2^11440968 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 11440968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385920).

11440968 is an abundant number, since it is smaller than the sum of its proper divisors (25330872).

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

11440968 is a wasteful number, since it uses less digits than its factorization.

11440968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 11440968 is about 3382.4499996304. The cubic root of 11440968 is about 225.3309893979.

The spelling of 11440968 in words is "eleven million, four hundred forty thousand, nine hundred sixty-eight".