11246144 has 56 divisors (see below), whose sum is σ = 27480768. Its totient is φ = 4446720.

The previous prime is 11246141. The next prime is 11246153. The reversal of 11246144 is 44164211.

It is a happy number.

11246144 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (11246141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4859 + ... + 6789.

It is an arithmetic number, because the mean of its divisors is an integer number (490728).

Almost surely, 2^11246144 is an apocalyptic number.

11246144 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 11246144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740384).

11246144 is an abundant number, since it is smaller than the sum of its proper divisors (16234624).

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

11246144 is a wasteful number, since it uses less digits than its factorization.

11246144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1953 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 11246144 is about 3353.5270984443. The cubic root of 11246144 is about 224.0446339628.

The spelling of 11246144 in words is "eleven million, two hundred forty-six thousand, one hundred forty-four".