1983406016 has 112 divisors (see below), whose sum is σ = 4203021312. Its totient is φ = 927360000.

The previous prime is 1983406013. The next prime is 1983406027. The reversal of 1983406016 is 6106043891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983406013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7901891 + ... + 7902141.

It is an arithmetic number, because the mean of its divisors is an integer number (37526976).

Almost surely, 2^1983406016 is an apocalyptic number.

1983406016 is a gapful number since it is divisible by the number (16) 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 1983406016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101510656).

1983406016 is an abundant number, since it is smaller than the sum of its proper divisors (2219615296).

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

1983406016 is a wasteful number, since it uses less digits than its factorization.

1983406016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 1983406016 is about 44535.4467362796. The cubic root of 1983406016 is about 1256.4268499291.

The spelling of 1983406016 in words is "one billion, nine hundred eighty-three million, four hundred six thousand, sixteen".