889830144 has 288 divisors, whose sum is σ = 3072867840. Its totient is φ = 248721408.

The previous prime is 889830143. The next prime is 889830163. The reversal of 889830144 is 441038988.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 889830144.

It is not an unprimeable number, because it can be changed into a prime (889830143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2564179 + ... + 2564525.

It is an arithmetic number, because the mean of its divisors is an integer number (10669680).

Almost surely, 2^889830144 is an apocalyptic number.

889830144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 889830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536433920).

889830144 is an abundant number, since it is smaller than the sum of its proper divisors (2183037696).

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

889830144 is a wasteful number, since it uses less digits than its factorization.

889830144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 889830144 is about 29830.0208514845. The cubic root of 889830144 is about 961.8389750120.

The spelling of 889830144 in words is "eight hundred eighty-nine million, eight hundred thirty thousand, one hundred forty-four".