1288768 has 28 divisors (see below), whose sum is σ = 2755900. Its totient is φ = 594432.

The previous prime is 1288733. The next prime is 1288769. The reversal of 1288768 is 8678821.

It can be written as a sum of positive squares in 2 ways, for example, as 304704 + 984064 = 552^2 + 992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1288768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58 + ... + 1606.

It is an arithmetic number, because the mean of its divisors is an integer number (98425).

2^1288768 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 1288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377950).

1288768 is an abundant number, since it is smaller than the sum of its proper divisors (1467132).

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

1288768 is a wasteful number, since it uses less digits than its factorization.

1288768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1564 counting only the distinct ones).

The product of its digits is 43008, while the sum is 40.

The square root of 1288768 is about 1135.2391818467. The cubic root of 1288768 is about 108.8240575405.

The spelling of 1288768 in words is "one million, two hundred eighty-eight thousand, seven hundred sixty-eight".