889384320 has 256 divisors, whose sum is σ = 3436992000. Its totient is φ = 215562240.

The previous prime is 889384313. The next prime is 889384339. The reversal of 889384320 is 23483988.

It is a super-3 number, since 3×889384320³ (a number of 28 digits) contains 333 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187741 + ... + 192419.

It is an arithmetic number, because the mean of its divisors is an integer number (13425750).

Almost surely, 2^889384320 is an apocalyptic number.

889384320 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 889384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718496000).

889384320 is an abundant number, since it is smaller than the sum of its proper divisors (2547607680).

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

889384320 is a wasteful number, since it uses less digits than its factorization.

889384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4718 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 889384320 is about 29822.5471749145. The cubic root of 889384320 is about 961.6783141875.

The spelling of 889384320 in words is "eight hundred eighty-nine million, three hundred eighty-four thousand, three hundred twenty".