11034144 has 168 divisors, whose sum is σ = 36357552. Its totient is φ = 3265920.

The previous prime is 11034119. The next prime is 11034151. The reversal of 11034144 is 44143011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 256587 + ... + 256629.

It is an arithmetic number, because the mean of its divisors is an integer number (216414).

Almost surely, 2^11034144 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 11034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18178776).

11034144 is an abundant number, since it is smaller than the sum of its proper divisors (25323408).

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

11034144 is an equidigital number, since it uses as much as digits as its factorization.

11034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11034144 is about 3321.7682038336. The cubic root of 11034144 is about 222.6278791885.

Adding to 11034144 its reverse (44143011), we get a palindrome (55177155).

The spelling of 11034144 in words is "eleven million, thirty-four thousand, one hundred forty-four".