983222064 has 200 divisors, whose sum is σ = 3287856528. Its totient is φ = 280350720.

The previous prime is 983222063. The next prime is 983222083. The reversal of 983222064 is 460222389.

983222064 = 47³ + 48³ + ... + 250³.

983222064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (983222063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 240324 + ... + 244380.

Almost surely, 2^983222064 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 983222064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643928264).

983222064 is an abundant number, since it is smaller than the sum of its proper divisors (2304634464).

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

983222064 is a wasteful number, since it uses less digits than its factorization.

983222064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 983222064 is about 31356.3719840163. The cubic root of 983222064 is about 994.3757821416.

The spelling of 983222064 in words is "nine hundred eighty-three million, two hundred twenty-two thousand, sixty-four".