983226816 has 448 divisors, whose sum is σ = 3563965440. Its totient is φ = 261550080.

The previous prime is 983226791. The next prime is 983226821. The reversal of 983226816 is 618622389.

983226816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5683306 + ... + 5683478.

It is an arithmetic number, because the mean of its divisors is an integer number (7955280).

Almost surely, 2^983226816 is an apocalyptic number.

983226816 is a gapful number since it is divisible by the number (96) 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 983226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781982720).

983226816 is an abundant number, since it is smaller than the sum of its proper divisors (2580738624).

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

983226816 is a wasteful number, since it uses less digits than its factorization.

983226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 225 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 983226816 is about 31356.4477579971. The cubic root of 983226816 is about 994.3773841080.

The spelling of 983226816 in words is "nine hundred eighty-three million, two hundred twenty-six thousand, eight hundred sixteen".