1983666564 has 192 divisors, whose sum is σ = 5892956160. Its totient is φ = 571536000.

The previous prime is 1983666541. The next prime is 1983666571. The reversal of 1983666564 is 4656663891.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1983666564.

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, 2246067 + ... + 2246949.

It is an arithmetic number, because the mean of its divisors is an integer number (30692480).

Almost surely, 2^1983666564 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 1983666564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946478080).

1983666564 is an abundant number, since it is smaller than the sum of its proper divisors (3909289596).

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

1983666564 is a wasteful number, since it uses less digits than its factorization.

1983666564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 991 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 1983666564 is about 44538.3718157725. The cubic root of 1983666564 is about 1256.4818639079.

The spelling of 1983666564 in words is "one billion, nine hundred eighty-three million, six hundred sixty-six thousand, five hundred sixty-four".