1983620016 has 200 divisors, whose sum is σ = 6722632224. Its totient is φ = 552821760.

The previous prime is 1983620003. The next prime is 1983620053. The reversal of 1983620016 is 6100263891.

1983620016 is a `hidden beast` number, since 19 + 8 + 3 + 620 + 0 + 16 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 369286 + ... + 374618.

Almost surely, 2^1983620016 is an apocalyptic number.

1983620016 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 1983620016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361316112).

1983620016 is an abundant number, since it is smaller than the sum of its proper divisors (4739012208).

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

1983620016 is a wasteful number, since it uses less digits than its factorization.

1983620016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5401 (or 5386 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1983620016 is about 44537.8492520687. The cubic root of 1983620016 is about 1256.4720357818.

The spelling of 1983620016 in words is "one billion, nine hundred eighty-three million, six hundred twenty thousand, sixteen".