889344000 has 312 divisors, whose sum is σ = 3222601512. Its totient is φ = 235929600.

The previous prime is 889343999. The next prime is 889344019. The reversal of 889344000 is 443988.

It can be written as a sum of positive squares in 4 ways, for example, as 103550976 + 785793024 = 10176^2 + 28032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4607904 + ... + 4608096.

It is an arithmetic number, because the mean of its divisors is an integer number (10328851).

Almost surely, 2^889344000 is an apocalyptic number.

889344000 is a gapful number since it is divisible by the number (80) 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 889344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611300756).

889344000 is an abundant number, since it is smaller than the sum of its proper divisors (2333257512).

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

889344000 is a wasteful number, since it uses less digits than its factorization.

889344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 889344000 is about 29821.8711686574. The cubic root of 889344000 is about 961.6637814916.

Adding to 889344000 its reverse (443988), we get a palindrome (889787988).

The spelling of 889344000 in words is "eight hundred eighty-nine million, three hundred forty-four thousand".