11209968 has 160 divisors (see below), whose sum is σ = 40235520. Its totient is φ = 2903040.

The previous prime is 11209963. The next prime is 11209969. The reversal of 11209968 is 86990211.

It is a super-2 number, since 2×11209968² = 251326765122048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11209963) 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, 33096 + ... + 33432.

It is an arithmetic number, because the mean of its divisors is an integer number (251472).

Almost surely, 2^11209968 is an apocalyptic number.

11209968 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 11209968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20117760).

11209968 is an abundant number, since it is smaller than the sum of its proper divisors (29025552).

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

11209968 is a wasteful number, since it uses less digits than its factorization.

11209968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11209968 is about 3348.1290297717. The cubic root of 11209968 is about 223.8041442785.

The spelling of 11209968 in words is "eleven million, two hundred nine thousand, nine hundred sixty-eight".