1268288 has 56 divisors (see below), whose sum is σ = 3048000. Its totient is φ = 511488.

The previous prime is 1268287. The next prime is 1268291. The reversal of 1268288 is 8828621.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (1268287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8438 + ... + 8586.

2^1268288 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 1268288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524000).

1268288 is an abundant number, since it is smaller than the sum of its proper divisors (1779712).

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

1268288 is a wasteful number, since it uses less digits than its factorization.

1268288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its digits is 12288, while the sum is 35.

The square root of 1268288 is about 1126.1829336302. The cubic root of 1268288 is about 108.2445305139.

The spelling of 1268288 in words is "one million, two hundred sixty-eight thousand, two hundred eighty-eight".