889088000 has 192 divisors, whose sum is σ = 2330415360. Its totient is φ = 337920000.

The previous prime is 889087999. The next prime is 889088009. The reversal of 889088000 is 880988.

It is not an unprimeable number, because it can be changed into a prime (889088009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5887925 + ... + 5888075.

It is an arithmetic number, because the mean of its divisors is an integer number (12137580).

Almost surely, 2^889088000 is an apocalyptic number.

889088000 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 889088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165207680).

889088000 is an abundant number, since it is smaller than the sum of its proper divisors (1441327360).

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

889088000 is a wasteful number, since it uses less digits than its factorization.

889088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 41.

The square root of 889088000 is about 29817.5787078696. The cubic root of 889088000 is about 961.5715001571.

The spelling of 889088000 in words is "eight hundred eighty-nine million, eighty-eight thousand".