1608320448 has 560 divisors, whose sum is σ = 5948135424. Its totient is φ = 419696640.

The previous prime is 1608320419. The next prime is 1608320491. The reversal of 1608320448 is 8440238061.

1608320448 is a `hidden beast` number, since 1 + 608 + 3 + 2 + 0 + 4 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34219561 + ... + 34219607.

Almost surely, 2^1608320448 is an apocalyptic number.

1608320448 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 1608320448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974067712).

1608320448 is an abundant number, since it is smaller than the sum of its proper divisors (4339814976).

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

1608320448 is a wasteful number, since it uses less digits than its factorization.

1608320448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1608320448 is about 40103.8707358779. The cubic root of 1608320448 is about 1171.6310191338.

The spelling of 1608320448 in words is "one billion, six hundred eight million, three hundred twenty thousand, four hundred forty-eight".