1965680896 has 81 divisors (see below), whose sum is σ = 4193792841. Its totient is φ = 919351296.

The previous prime is 1965680881. The next prime is 1965680909. The reversal of 1965680896 is 6980865691.

The square root of 1965680896 is 44336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1530374400 + 435306496 = 39120^2 + 20864^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1965680896.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12059311 + ... + 12059473.

Almost surely, 2^1965680896 is an apocalyptic number.

1965680896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1965680896 is the 44336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1965680896

1965680896 is an abundant number, since it is smaller than the sum of its proper divisors (2228111945).

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

1965680896 is an frugal number, since it uses more digits than its factorization.

1965680896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 58.

The cubic root of 1965680896 is about 1252.6728716785.

The spelling of 1965680896 in words is "one billion, nine hundred sixty-five million, six hundred eighty thousand, eight hundred ninety-six".