1288224 has 120 divisors (see below), whose sum is σ = 4390848. Its totient is φ = 362880.

The previous prime is 1288213. The next prime is 1288247. The reversal of 1288224 is 4228821.

It is a Cunningham number, because it is equal to 1135²-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18109 + ... + 18179.

2^1288224 is an apocalyptic number.

1288224 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 1288224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195424).

1288224 is an abundant number, since it is smaller than the sum of its proper divisors (3102624).

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

1288224 is an equidigital number, since it uses as much as digits as its factorization.

1288224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 1288224 is about 1134.9995594713. Note that the first 3 decimals coincide. The cubic root of 1288224 is about 108.8087435303.

The spelling of 1288224 in words is "one million, two hundred eighty-eight thousand, two hundred twenty-four".