1114144 has 24 divisors (see below), whose sum is σ = 2255148. Its totient is φ = 541440.

The previous prime is 1114117. The next prime is 1114159. The reversal of 1114144 is 4414111.

It can be written as a sum of positive squares in 2 ways, for example, as 1024144 + 90000 = 1012^2 + 300^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 714 + ... + 1654.

2^1114144 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 1114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127574).

1114144 is an abundant number, since it is smaller than the sum of its proper divisors (1141004).

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

1114144 is an equidigital number, since it uses as much as digits as its factorization.

1114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 980 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 1114144 is about 1055.5301985258. The cubic root of 1114144 is about 103.6685701595.

Adding to 1114144 its reverse (4414111), we get a palindrome (5528255).

The spelling of 1114144 in words is "one million, one hundred fourteen thousand, one hundred forty-four".