1984560768 has 96 divisors (see below), whose sum is σ = 5843735040. Its totient is φ = 646119936.

The previous prime is 1984560737. The next prime is 1984560769. The reversal of 1984560768 is 8670654891.

1984560768 is a `hidden beast` number, since 1 + 9 + 8 + 4 + 560 + 76 + 8 = 666.

1984560768 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1984560769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29505 + ... + 69567.

It is an arithmetic number, because the mean of its divisors is an integer number (60872240).

Almost surely, 2^1984560768 is an apocalyptic number.

1984560768 is a gapful number since it is divisible by the number (18) 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 1984560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921867520).

1984560768 is an abundant number, since it is smaller than the sum of its proper divisors (3859174272).

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

1984560768 is a wasteful number, since it uses less digits than its factorization.

1984560768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40126 (or 40111 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 1984560768 is about 44548.4092645293. The cubic root of 1984560768 is about 1256.6706359434.

The spelling of 1984560768 in words is "one billion, nine hundred eighty-four million, five hundred sixty thousand, seven hundred sixty-eight".