1288144 has 40 divisors (see below), whose sum is σ = 2937312. Its totient is φ = 539520.

The previous prime is 1288117. The next prime is 1288163. The reversal of 1288144 is 4418821.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2007 + ... + 2569.

2^1288144 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 1288144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468656).

1288144 is an abundant number, since it is smaller than the sum of its proper divisors (1649168).

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

1288144 is a wasteful number, since it uses less digits than its factorization.

1288144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 589 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

The square root of 1288144 is about 1134.9643166197. The cubic root of 1288144 is about 108.8064911064.

The spelling of 1288144 in words is "one million, two hundred eighty-eight thousand, one hundred forty-four".