1604089344 has 320 divisors, whose sum is σ = 5142170880. Its totient is φ = 437944320.

The previous prime is 1604089339. The next prime is 1604089363. The reversal of 1604089344 is 4439804061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14716362 + ... + 14716470.

It is an arithmetic number, because the mean of its divisors is an integer number (16069284).

Almost surely, 2^1604089344 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 1604089344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571085440).

1604089344 is an abundant number, since it is smaller than the sum of its proper divisors (3538081536).

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

1604089344 is a wasteful number, since it uses less digits than its factorization.

1604089344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1604089344 is about 40051.0841800818. The cubic root of 1604089344 is about 1170.6026904384.

The spelling of 1604089344 in words is "one billion, six hundred four million, eighty-nine thousand, three hundred forty-four".