889648704 has 448 divisors, whose sum is σ = 3251200000. Its totient is φ = 237758976.

The previous prime is 889648699. The next prime is 889648729. The reversal of 889648704 is 407846988.

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 (54).

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, 11261337 + ... + 11261415.

Almost surely, 2^889648704 is an apocalyptic number.

889648704 is a gapful number since it is divisible by the number (84) 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 889648704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625600000).

889648704 is an abundant number, since it is smaller than the sum of its proper divisors (2361551296).

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

889648704 is a wasteful number, since it uses less digits than its factorization.

889648704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 889648704 is about 29826.9794649073. The cubic root of 889648704 is about 961.7735962699.

It can be divided in two parts, 8896 and 48704, that added together give a square (57600 = 240²).

The spelling of 889648704 in words is "eight hundred eighty-nine million, six hundred forty-eight thousand, seven hundred four".