1290368 has 32 divisors (see below), whose sum is σ = 2726460. Its totient is φ = 606208.

The previous prime is 1290329. The next prime is 1290371. The reversal of 1290368 is 8630921.

It can be written as a sum of positive squares in 2 ways, for example, as 1236544 + 53824 = 1112^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1290368.

It is a congruent number.

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, 1880 + ... + 2472.

2^1290368 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 1290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363230).

1290368 is an abundant number, since it is smaller than the sum of its proper divisors (1436092).

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

1290368 is an equidigital number, since it uses as much as digits as its factorization.

1290368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1290368 is about 1135.9436605748. The cubic root of 1290368 is about 108.8690737849.

The spelling of 1290368 in words is "one million, two hundred ninety thousand, three hundred sixty-eight".