890489820 has 144 divisors (see below), whose sum is σ = 2760377760. Its totient is φ = 214325760.

The previous prime is 890489813. The next prime is 890489839. The reversal of 890489820 is 28984098.

It is a self number, because there is not a number n which added to its sum of digits gives 890489820.

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 47 ways as a sum of consecutive naturals, for example, 1255626 + ... + 1256334.

It is an arithmetic number, because the mean of its divisors is an integer number (19169290).

Almost surely, 2^890489820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890489820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380188880).

890489820 is an abundant number, since it is smaller than the sum of its proper divisors (1869887940).

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

890489820 is a wasteful number, since it uses less digits than its factorization.

890489820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 890489820 is about 29841.0760529844. The cubic root of 890489820 is about 962.0766028935.

The spelling of 890489820 in words is "eight hundred ninety million, four hundred eighty-nine thousand, eight hundred twenty".