1009344 has 56 divisors (see below), whose sum is σ = 3056128. Its totient is φ = 288000.

The previous prime is 1009343. The next prime is 1009357. The reversal of 1009344 is 4439001.

1009344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1009344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 969 + ... + 1719.

2^1009344 is an apocalyptic number.

1009344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528064).

1009344 is an abundant number, since it is smaller than the sum of its proper divisors (2046784).

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

1009344 is an equidigital number, since it uses as much as digits as its factorization.

1009344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1009344 is about 1004.6611369014. The cubic root of 1009344 is about 100.3105015566.

The spelling of 1009344 in words is "one million, nine thousand, three hundred forty-four".