889936320 has 448 divisors, whose sum is σ = 3555772416. Its totient is φ = 183582720.

The previous prime is 889936319. The next prime is 889936331. The reversal of 889936320 is 23639988.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 889936320.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5328877 + ... + 5329043.

It is an arithmetic number, because the mean of its divisors is an integer number (7936992).

Almost surely, 2^889936320 is an apocalyptic number.

889936320 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 889936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1777886208).

889936320 is an abundant number, since it is smaller than the sum of its proper divisors (2665836096).

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

889936320 is a wasteful number, since it uses less digits than its factorization.

889936320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 889936320 is about 29831.8004820359. The cubic root of 889936320 is about 961.8772295613.

The spelling of 889936320 in words is "eight hundred eighty-nine million, nine hundred thirty-six thousand, three hundred twenty".