1027344 has 40 divisors (see below), whose sum is σ = 2812320. Its totient is φ = 322048.

The previous prime is 1027331. The next prime is 1027357. The reversal of 1027344 is 4437201.

1027344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1027331) and next prime (1027357).

It is a self number, because there is not a number n which added to its sum of digits gives 1027344.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187 + ... + 1445.

It is an arithmetic number, because the mean of its divisors is an integer number (70308).

2^1027344 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 1027344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406160).

1027344 is an abundant number, since it is smaller than the sum of its proper divisors (1784976).

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

1027344 is a wasteful number, since it uses less digits than its factorization.

1027344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 1027344 is about 1013.5797945895. The cubic root of 1027344 is about 100.9032828998.

The spelling of 1027344 in words is "one million, twenty-seven thousand, three hundred forty-four".