1609344 has 96 divisors (see below), whose sum is σ = 5091840. Its totient is φ = 483840.

The previous prime is 1609301. The next prime is 1609367. The reversal of 1609344 is 4439061.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1609344² = 5179976220672, which contains 22 as substring.

It is a plaindrome in base 13.

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 11 ways as a sum of consecutive naturals, for example, 12609 + ... + 12735.

It is an arithmetic number, because the mean of its divisors is an integer number (53040).

2^1609344 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 1609344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545920).

1609344 is an abundant number, since it is smaller than the sum of its proper divisors (3482496).

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

1609344 is a wasteful number, since it uses less digits than its factorization.

1609344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1609344 is about 1268.5992274946. The cubic root of 1609344 is about 117.1879512516.

It can be divided in two parts, 1609 and 344, that added together give a triangular number (1953 = T₆₂).

The spelling of 1609344 in words is "one million, six hundred nine thousand, three hundred forty-four".