889040160 has 288 divisors, whose sum is σ = 3354099840. Its totient is φ = 213295104.

The previous prime is 889040129. The next prime is 889040197. The reversal of 889040160 is 61040988.

It is a happy number.

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

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

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, 562251 + ... + 563829.

It is an arithmetic number, because the mean of its divisors is an integer number (11646180).

Almost surely, 2^889040160 is an apocalyptic number.

889040160 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 889040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677049920).

889040160 is an abundant number, since it is smaller than the sum of its proper divisors (2465059680).

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

889040160 is a wasteful number, since it uses less digits than its factorization.

889040160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 889040160 is about 29816.7764857303. The cubic root of 889040160 is about 961.5542531183.

The spelling of 889040160 in words is "eight hundred eighty-nine million, forty thousand, one hundred sixty".