1284608 has 40 divisors (see below), whose sum is σ = 2778468. Its totient is φ = 589824.

The previous prime is 1284601. The next prime is 1284617. The reversal of 1284608 is 8064821.

It can be written as a sum of positive squares in 2 ways, for example, as 1149184 + 135424 = 1072^2 + 368^2 .

It is not an unprimeable number, because it can be changed into a prime (1284601) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6560 + ... + 6752.

2^1284608 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 1284608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389234).

1284608 is an abundant number, since it is smaller than the sum of its proper divisors (1493860).

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

1284608 is an equidigital number, since it uses as much as digits as its factorization.

1284608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 1284608 is about 1133.4054878992. The cubic root of 1284608 is about 108.7068406709.

It can be divided in two parts, 128 and 4608, that multiplied together give a square (589824 = 768²).

The spelling of 1284608 in words is "one million, two hundred eighty-four thousand, six hundred eight".