844821090 has 96 divisors (see below), whose sum is σ = 2312331840. Its totient is φ = 221880384.

The previous prime is 844821067. The next prime is 844821143. The reversal of 844821090 is 90128448.

844821090 is a `hidden beast` number, since 84 + 482 + 10 + 90 = 666.

844821090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

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, 160216 + ... + 165404.

It is an arithmetic number, because the mean of its divisors is an integer number (24086790).

Almost surely, 2^844821090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844821090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156165920).

844821090 is an abundant number, since it is smaller than the sum of its proper divisors (1467510750).

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

844821090 is a wasteful number, since it uses less digits than its factorization.

844821090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 844821090 is about 29065.8061990374. The cubic root of 844821090 is about 945.3404668902.

The spelling of 844821090 in words is "eight hundred forty-four million, eight hundred twenty-one thousand, ninety".