1284128 has 12 divisors (see below), whose sum is σ = 2528190. Its totient is φ = 642048.

The previous prime is 1284083. The next prime is 1284131. The reversal of 1284128 is 8214821.

It can be written as a sum of positive squares in only one way, i.e., 1281424 + 2704 = 1132^2 + 52^2 .

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1284097 and 1284106.

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 as a sum of consecutive naturals, namely, 20033 + ... + 20096.

2^1284128 is an apocalyptic number.

It is an amenable number.

1284128 is a deficient number, since it is larger than the sum of its proper divisors (1244062).

1284128 is an equidigital number, since it uses as much as digits as its factorization.

1284128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40139 (or 40131 counting only the distinct ones).

The product of its digits is 1024, while the sum is 26.

The square root of 1284128 is about 1133.1937168905. The cubic root of 1284128 is about 108.6932993717.

Adding to 1284128 its reverse (8214821), we get a palindrome (9498949).

The spelling of 1284128 in words is "one million, two hundred eighty-four thousand, one hundred twenty-eight".