1609103360 has 192 divisors, whose sum is σ = 4123042560. Its totient is φ = 601620480.

The previous prime is 1609103311. The next prime is 1609103371. The reversal of 1609103360 is 633019061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11745212 + ... + 11745348.

It is an arithmetic number, because the mean of its divisors is an integer number (21474180).

Almost surely, 2^1609103360 is an apocalyptic number.

1609103360 is a gapful number since it is divisible by the number (10) 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 1609103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061521280).

1609103360 is an abundant number, since it is smaller than the sum of its proper divisors (2513939200).

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

1609103360 is a wasteful number, since it uses less digits than its factorization.

1609103360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 1609103360 is about 40113.6306010812. The cubic root of 1609103360 is about 1171.8211004875.

The spelling of 1609103360 in words is "one billion, six hundred nine million, one hundred three thousand, three hundred sixty".