889050240 has 384 divisors, whose sum is σ = 3421716480. Its totient is φ = 211230720.

The previous prime is 889050221. The next prime is 889050251. The reversal of 889050240 is 42050988.

889050240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 889050195 and 889050204.

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, 2321089 + ... + 2321471.

It is an arithmetic number, because the mean of its divisors is an integer number (8910720).

Almost surely, 2^889050240 is an apocalyptic number.

889050240 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 889050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710858240).

889050240 is an abundant number, since it is smaller than the sum of its proper divisors (2532666240).

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

889050240 is a wasteful number, since it uses less digits than its factorization.

889050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 889050240 is about 29816.9455176079. The cubic root of 889050240 is about 961.5578871612.

The spelling of 889050240 in words is "eight hundred eighty-nine million, fifty thousand, two hundred forty".