1609563648 has 320 divisors, whose sum is σ = 5531074560. Its totient is φ = 403660800.

The previous prime is 1609563647. The next prime is 1609563653. The reversal of 1609563648 is 8463659061.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1609563597 and 1609563606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1609563643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3666213 + ... + 3666651.

It is an arithmetic number, because the mean of its divisors is an integer number (17284608).

Almost surely, 2^1609563648 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 1609563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765537280).

1609563648 is an abundant number, since it is smaller than the sum of its proper divisors (3921510912).

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

1609563648 is a wasteful number, since it uses less digits than its factorization.

1609563648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 1609563648 is about 40119.3674925216. The cubic root of 1609563648 is about 1171.9328239443.

The spelling of 1609563648 in words is "one billion, six hundred nine million, five hundred sixty-three thousand, six hundred forty-eight".