889320960 has 480 divisors, whose sum is σ = 3504552480. Its totient is φ = 208158720.

The previous prime is 889320923. The next prime is 889320979. The reversal of 889320960 is 69023988.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30666226 + ... + 30666254.

It is an arithmetic number, because the mean of its divisors is an integer number (7301151).

Almost surely, 2^889320960 is an apocalyptic number.

889320960 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 889320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752276240).

889320960 is an abundant number, since it is smaller than the sum of its proper divisors (2615231520).

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

889320960 is a wasteful number, since it uses less digits than its factorization.

889320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 889320960 is about 29821.4848724875. The cubic root of 889320960 is about 961.6554768968.

The spelling of 889320960 in words is "eight hundred eighty-nine million, three hundred twenty thousand, nine hundred sixty".