1284352 has 36 divisors (see below), whose sum is σ = 2667420. Its totient is φ = 616448.

The previous prime is 1284341. The next prime is 1284373. The reversal of 1284352 is 2534821.

1284352 = T₂₈₃ + T₂₈₄ + ... + T₃₁₁.

It can be written as a sum of positive squares in 2 ways, for example, as 952576 + 331776 = 976^2 + 576^2 .

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 in 3 ways as a sum of consecutive naturals, for example, 7338 + ... + 7510.

It is an arithmetic number, because the mean of its divisors is an integer number (74095).

2^1284352 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 1284352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333710).

1284352 is an abundant number, since it is smaller than the sum of its proper divisors (1383068).

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

1284352 is an equidigital number, since it uses as much as digits as its factorization.

1284352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 1284352 is about 1133.2925482857. The cubic root of 1284352 is about 108.6996190645.

The spelling of 1284352 in words is "one million, two hundred eighty-four thousand, three hundred fifty-two".