1983664560 has 80 divisors (see below), whose sum is σ = 6163043040. Its totient is φ = 527800320.

The previous prime is 1983664517. The next prime is 1983664561. The reversal of 1983664560 is 654663891.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1983664561) 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, 101676 + ... + 119604.

It is an arithmetic number, because the mean of its divisors is an integer number (77038038).

Almost surely, 2^1983664560 is an apocalyptic number.

1983664560 is a gapful number since it is divisible by the number (10) 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 1983664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081521520).

1983664560 is an abundant number, since it is smaller than the sum of its proper divisors (4179378480).

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

1983664560 is a wasteful number, since it uses less digits than its factorization.

1983664560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18406 (or 18400 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 1983664560 is about 44538.3493183122. The cubic root of 1983664560 is about 1256.4814407873.

The spelling of 1983664560 in words is "one billion, nine hundred eighty-three million, six hundred sixty-four thousand, five hundred sixty".