889346016 has 144 divisors (see below), whose sum is σ = 2817884160. Its totient is φ = 264176640.

The previous prime is 889346009. The next prime is 889346057. The reversal of 889346016 is 610643988.

889346016 is a `hidden beast` number, since 8 + 8 + 9 + 34 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 104481 + ... + 112671.

It is an arithmetic number, because the mean of its divisors is an integer number (19568640).

Almost surely, 2^889346016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 889346016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408942080).

889346016 is an abundant number, since it is smaller than the sum of its proper divisors (1928538144).

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

889346016 is a wasteful number, since it uses less digits than its factorization.

889346016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8249 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 889346016 is about 29821.9049693342. The cubic root of 889346016 is about 961.6645081369.

The spelling of 889346016 in words is "eight hundred eighty-nine million, three hundred forty-six thousand, sixteen".