1288192 has 48 divisors (see below), whose sum is σ = 2800980. Its totient is φ = 589824.

The previous prime is 1288187. The next prime is 1288193. The reversal of 1288192 is 2918821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1115136 + 173056 = 1056^2 + 416^2 .

It is not an unprimeable number, because it can be changed into a prime (1288193) 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, 34798 + ... + 34834.

2^1288192 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 1288192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400490).

1288192 is an abundant number, since it is smaller than the sum of its proper divisors (1512788).

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

1288192 is an equidigital number, since it uses as much as digits as its factorization.

1288192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 56 counting only the distinct ones).

The product of its digits is 2304, while the sum is 31.

The square root of 1288192 is about 1134.9854624620. The cubic root of 1288192 is about 108.8078425719.

Adding to 1288192 its product of digits (2304), we get a square (1290496 = 1136²).

It can be divided in two parts, 128819 and 2, that added together give a palindrome (128821).

The spelling of 1288192 in words is "one million, two hundred eighty-eight thousand, one hundred ninety-two".