1288320 has 128 divisors (see below), whose sum is σ = 4553280. Its totient is φ = 307200.

The previous prime is 1288307. The next prime is 1288337. The reversal of 1288320 is 238821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 21090 + ... + 21150.

2^1288320 is an apocalyptic number.

1288320 is a gapful number since it is divisible by the number (10) 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 1288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276640).

1288320 is an abundant number, since it is smaller than the sum of its proper divisors (3264960).

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

1288320 is a wasteful number, since it uses less digits than its factorization.

1288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1288320 is about 1135.0418494487. The cubic root of 1288320 is about 108.8114463159.

It can be divided in two parts, 128 and 8320, that added together give a palindrome (8448).

The spelling of 1288320 in words is "one million, two hundred eighty-eight thousand, three hundred twenty".