1608651664 has 45 divisors (see below), whose sum is σ = 3215139921. Its totient is φ = 779699520.

The previous prime is 1608651661. The next prime is 1608651683. The reversal of 1608651664 is 4661568061.

The square root of 1608651664 is 40108.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1439443600 + 169208064 = 37940^2 + 13008^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1608651664.

It is not an unprimeable number, because it can be changed into a prime (1608651661) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5935849 + ... + 5936119.

Almost surely, 2^1608651664 is an apocalyptic number.

1608651664 is the 40108-th square number.

It is an amenable number.

1608651664 is a deficient number, since it is larger than the sum of its proper divisors (1606488257).

1608651664 is an frugal number, since it uses more digits than its factorization.

1608651664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The cubic root of 1608651664 is about 1171.7114418100.

The spelling of 1608651664 in words is "one billion, six hundred eight million, six hundred fifty-one thousand, six hundred sixty-four".