11244000 has 96 divisors (see below), whose sum is σ = 36874656. Its totient is φ = 2995200.

The previous prime is 11243989. The next prime is 11244011. The reversal of 11244000 is 44211.

It is an interprime number because it is at equal distance from previous prime (11243989) and next prime (11244011).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11532 + ... + 12468.

It is an arithmetic number, because the mean of its divisors is an integer number (384111).

Almost surely, 2^11244000 is an apocalyptic number.

11244000 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 11244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18437328).

11244000 is an abundant number, since it is smaller than the sum of its proper divisors (25630656).

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

11244000 is an equidigital number, since it uses as much as digits as its factorization.

11244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 11244000 is about 3353.2074197699. The cubic root of 11244000 is about 224.0303955352.

Adding to 11244000 its reverse (44211), we get a palindrome (11288211).

The spelling of 11244000 in words is "eleven million, two hundred forty-four thousand".