983816064 has 256 divisors, whose sum is σ = 3621081600. Its totient is φ = 255467520.

The previous prime is 983816047. The next prime is 983816083. The reversal of 983816064 is 460618389.

983816064 is a `hidden beast` number, since 9 + 8 + 38 + 1 + 606 + 4 = 666.

983816064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264264 + ... + 267960.

It is an arithmetic number, because the mean of its divisors is an integer number (14144850).

Almost surely, 2^983816064 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 983816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810540800).

983816064 is an abundant number, since it is smaller than the sum of its proper divisors (2637265536).

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

983816064 is a wasteful number, since it uses less digits than its factorization.

983816064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3720 counting only the distinct ones).

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

The square root of 983816064 is about 31365.8423129365. The cubic root of 983816064 is about 994.5759879513.

The spelling of 983816064 in words is "nine hundred eighty-three million, eight hundred sixteen thousand, sixty-four".