889585200 has 540 divisors, whose sum is σ = 3775230840. Its totient is φ = 198374400.

The previous prime is 889585189. The next prime is 889585201. The reversal of 889585200 is 2585988.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

889585200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (889585201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 21697180 + ... + 21697220.

Almost surely, 2^889585200 is an apocalyptic number.

889585200 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 889585200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887615420).

889585200 is an abundant number, since it is smaller than the sum of its proper divisors (2885645640).

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

889585200 is a wasteful number, since it uses less digits than its factorization.

889585200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 889585200 is about 29825.9149063361. The cubic root of 889585200 is about 961.7507116101.

The spelling of 889585200 in words is "eight hundred eighty-nine million, five hundred eighty-five thousand, two hundred".