882661284 has 144 divisors (see below), whose sum is σ = 2505550320. Its totient is φ = 260628480.

The previous prime is 882661261. The next prime is 882661291. The reversal of 882661284 is 482166288.

882661284 is a `hidden beast` number, since 8 + 8 + 26 + 612 + 8 + 4 = 666.

882661284 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 142277184 + 740384100 = 11928^2 + 27210^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 727062 + ... + 728274.

It is an arithmetic number, because the mean of its divisors is an integer number (17399655).

Almost surely, 2^882661284 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 882661284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252775160).

882661284 is an abundant number, since it is smaller than the sum of its proper divisors (1622889036).

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

882661284 is a wasteful number, since it uses less digits than its factorization.

882661284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1305 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 882661284 is about 29709.6160190602. The cubic root of 882661284 is about 959.2490090204.

The spelling of 882661284 in words is "eight hundred eighty-two million, six hundred sixty-one thousand, two hundred eighty-four".