1989873664 has 117 divisors (see below), whose sum is σ = 4332719551. Its totient is φ = 913571840.

The previous prime is 1989873661. The next prime is 1989873671. The reversal of 1989873664 is 4663789891.

The square root of 1989873664 is 44608.

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

It can be written as a sum of positive squares in 4 ways, for example, as 140185600 + 1849688064 = 11840^2 + 43008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1989873661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 48533484 + ... + 48533524.

Almost surely, 2^1989873664 is an apocalyptic number.

1989873664 is the 44608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1989873664

1989873664 is an abundant number, since it is smaller than the sum of its proper divisors (2342845887).

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

1989873664 is an frugal number, since it uses more digits than its factorization.

1989873664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 60 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 61.

The cubic root of 1989873664 is about 1257.7910536829.

The spelling of 1989873664 in words is "one billion, nine hundred eighty-nine million, eight hundred seventy-three thousand, six hundred sixty-four".