1882865664 has 135 divisors (see below), whose sum is σ = 5487784393. Its totient is φ = 622067712.

The previous prime is 1882865653. The next prime is 1882865681. The reversal of 1882865664 is 4665682881.

The square root of 1882865664 is 43392.

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., 33177600 + 1849688064 = 5760^2 + 43008^2 .

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 1882865664.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16662472 + ... + 16662584.

Almost surely, 2^1882865664 is an apocalyptic number.

1882865664 is the 43392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1882865664

1882865664 is an abundant number, since it is smaller than the sum of its proper divisors (3604918729).

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

1882865664 is an frugal number, since it uses more digits than its factorization.

1882865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 118 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The cubic root of 1882865664 is about 1234.8279334331.

The spelling of 1882865664 in words is "one billion, eight hundred eighty-two million, eight hundred sixty-five thousand, six hundred sixty-four".