889947360 has 288 divisors, whose sum is σ = 3187810080. Its totient is φ = 225792000.

The previous prime is 889947323. The next prime is 889947379. The reversal of 889947360 is 63749988.

889947360 is a `hidden beast` number, since 88 + 99 + 473 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 889947297 and 889947306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4217655 + ... + 4217865.

It is an arithmetic number, because the mean of its divisors is an integer number (11068785).

Almost surely, 2^889947360 is an apocalyptic number.

889947360 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 889947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593905040).

889947360 is an abundant number, since it is smaller than the sum of its proper divisors (2297862720).

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

889947360 is a wasteful number, since it uses less digits than its factorization.

889947360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 889947360 is about 29831.9855189024. The cubic root of 889947360 is about 961.8812070297.

The spelling of 889947360 in words is "eight hundred eighty-nine million, nine hundred forty-seven thousand, three hundred sixty".