1609047648 has 144 divisors (see below), whose sum is σ = 4958815680. Its totient is φ = 494896896.

The previous prime is 1609047613. The next prime is 1609047667. The reversal of 1609047648 is 8467409061.

1609047648 is digitally balanced in base 4, 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 (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 631465 + ... + 634007.

It is an arithmetic number, because the mean of its divisors is an integer number (34436220).

Almost surely, 2^1609047648 is an apocalyptic number.

1609047648 is a gapful number since it is divisible by the number (18) 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 1609047648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479407840).

1609047648 is an abundant number, since it is smaller than the sum of its proper divisors (3349768032).

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

1609047648 is a wasteful number, since it uses less digits than its factorization.

1609047648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1609047648 is about 40112.9361677751. The cubic root of 1609047648 is about 1171.8075763406.

The spelling of 1609047648 in words is "one billion, six hundred nine million, forty-seven thousand, six hundred forty-eight".