10818144 has 96 divisors (see below), whose sum is σ = 33264000. Its totient is φ = 3411072.

The previous prime is 10818133. The next prime is 10818149. The reversal of 10818144 is 44181801.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10818149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16087 + ... + 16745.

It is an arithmetic number, because the mean of its divisors is an integer number (346500).

Almost surely, 2^10818144 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 10818144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16632000).

10818144 is an abundant number, since it is smaller than the sum of its proper divisors (22445856).

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

10818144 is a wasteful number, since it uses less digits than its factorization.

10818144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 10818144 is about 3289.0947082746. The cubic root of 10818144 is about 221.1656041227.

Adding to 10818144 its reverse (44181801), we get a palindrome (54999945).

The spelling of 10818144 in words is "ten million, eight hundred eighteen thousand, one hundred forty-four".