1965807648 has 288 divisors, whose sum is σ = 6934636800. Its totient is φ = 515358720.

The previous prime is 1965807647. The next prime is 1965807667. The reversal of 1965807648 is 8467085691.

1965807648 is a `hidden beast` number, since 19 + 6 + 580 + 7 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1965807594 and 1965807603.

It is not an unprimeable number, because it can be changed into a prime (1965807647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1404453 + ... + 1405851.

It is an arithmetic number, because the mean of its divisors is an integer number (24078600).

Almost surely, 2^1965807648 is an apocalyptic number.

1965807648 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 1965807648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467318400).

1965807648 is an abundant number, since it is smaller than the sum of its proper divisors (4968829152).

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

1965807648 is a wasteful number, since it uses less digits than its factorization.

1965807648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1469 counting only the distinct ones).

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

The square root of 1965807648 is about 44337.4294248099. The cubic root of 1965807648 is about 1252.6997962554.

The spelling of 1965807648 in words is "one billion, nine hundred sixty-five million, eight hundred seven thousand, six hundred forty-eight".