1606385664 has 192 divisors, whose sum is σ = 5009495400. Its totient is φ = 493092864.

The previous prime is 1606385633. The next prime is 1606385689. The reversal of 1606385664 is 4665836061.

1606385664 is a `hidden beast` number, since 1 + 6 + 0 + 638 + 5 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3833647 + ... + 3834065.

Almost surely, 2^1606385664 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 1606385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504747700).

1606385664 is an abundant number, since it is smaller than the sum of its proper divisors (3403109736).

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

1606385664 is an equidigital number, since it uses as much as digits as its factorization.

1606385664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 1606385664 is about 40079.7413165305. The cubic root of 1606385664 is about 1171.1610127665.

The spelling of 1606385664 in words is "one billion, six hundred six million, three hundred eighty-five thousand, six hundred sixty-four".