889249920 has 256 divisors, whose sum is σ = 3187296000. Its totient is φ = 209240064.

The previous prime is 889249883. The next prime is 889249931. The reversal of 889249920 is 29942988.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573306 + ... + 574854.

It is an arithmetic number, because the mean of its divisors is an integer number (12450375).

Almost surely, 2^889249920 is an apocalyptic number.

889249920 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 889249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593648000).

889249920 is an abundant number, since it is smaller than the sum of its proper divisors (2298046080).

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

889249920 is a wasteful number, since it uses less digits than its factorization.

889249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 889249920 is about 29820.2937611285. The cubic root of 889249920 is about 961.6298701596.

The spelling of 889249920 in words is "eight hundred eighty-nine million, two hundred forty-nine thousand, nine hundred twenty".