1664889648 has 80 divisors (see below), whose sum is σ = 4403527680. Its totient is φ = 541790208.

The previous prime is 1664889637. The next prime is 1664889683. The reversal of 1664889648 is 8469884661.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1664889591 and 1664889600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1301073 + ... + 1302351.

It is an arithmetic number, because the mean of its divisors is an integer number (55044096).

Almost surely, 2^1664889648 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 1664889648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201763840).

1664889648 is an abundant number, since it is smaller than the sum of its proper divisors (2738638032).

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

1664889648 is a wasteful number, since it uses less digits than its factorization.

1664889648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1908 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 60.

The square root of 1664889648 is about 40803.0592970674. The cubic root of 1664889648 is about 1185.2095739289.

The spelling of 1664889648 in words is "one billion, six hundred sixty-four million, eight hundred eighty-nine thousand, six hundred forty-eight".