11244960 has 192 divisors, whose sum is σ = 41731200. Its totient is φ = 2820096.

The previous prime is 11244949. The next prime is 11244967. The reversal of 11244960 is 6944211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11244967) 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, 82012 + ... + 82148.

It is an arithmetic number, because the mean of its divisors is an integer number (217350).

Almost surely, 2^11244960 is an apocalyptic number.

11244960 is a gapful number since it is divisible by the number (10) 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 11244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20865600).

11244960 is an abundant number, since it is smaller than the sum of its proper divisors (30486240).

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

11244960 is a wasteful number, since it uses less digits than its factorization.

11244960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 11244960 is about 3353.3505632427. The cubic root of 11244960 is about 224.0367711743.

It can be divided in two parts, 1124 and 4960, that added together give a square (6084 = 78²).

The spelling of 11244960 in words is "eleven million, two hundred forty-four thousand, nine hundred sixty".