889704000 has 280 divisors, whose sum is σ = 3293824248. Its totient is φ = 237081600.

The previous prime is 889703989. The next prime is 889704001. The reversal of 889704000 is 407988.

It can be written as a sum of positive squares in 4 ways, for example, as 14017536 + 875686464 = 3744^2 + 29592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (889704001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 647314 + ... + 648686.

Almost surely, 2^889704000 is an apocalyptic number.

889704000 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 889704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646912124).

889704000 is an abundant number, since it is smaller than the sum of its proper divisors (2404120248).

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

889704000 is a wasteful number, since it uses less digits than its factorization.

889704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 889704000 is about 29827.9063965274. The cubic root of 889704000 is about 961.7935221615.

The spelling of 889704000 in words is "eight hundred eighty-nine million, seven hundred four thousand".