11799144 has 96 divisors (see below), whose sum is σ = 37477440. Its totient is φ = 3283200.

The previous prime is 11799131. The next prime is 11799149. The reversal of 11799144 is 44199711.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11799099 and 11799108.

It is not an unprimeable number, because it can be changed into a prime (11799149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20379 + ... + 20949.

It is an arithmetic number, because the mean of its divisors is an integer number (390390).

Almost surely, 2^11799144 is an apocalyptic number.

11799144 is a gapful number since it is divisible by the number (14) 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 11799144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738720).

11799144 is an abundant number, since it is smaller than the sum of its proper divisors (25678296).

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

11799144 is a wasteful number, since it uses less digits than its factorization.

11799144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 624 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 11799144 is about 3434.9882095868. The cubic root of 11799144 is about 227.6583062721.

The spelling of 11799144 in words is "eleven million, seven hundred ninety-nine thousand, one hundred forty-four".