889009506 has 320 divisors, whose sum is σ = 2720931840. Its totient is φ = 211701600.

The previous prime is 889009493. The next prime is 889009523. The reversal of 889009506 is 605900988.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28677711 + ... + 28677741.

It is an arithmetic number, because the mean of its divisors is an integer number (8502912).

Almost surely, 2^889009506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 889009506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360465920).

889009506 is an abundant number, since it is smaller than the sum of its proper divisors (1831922334).

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

889009506 is a wasteful number, since it uses less digits than its factorization.

889009506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 889009506 is about 29816.2624418286. The cubic root of 889009506 is about 961.5432015655.

The spelling of 889009506 in words is "eight hundred eighty-nine million, nine thousand, five hundred six".