1968896800 has 216 divisors, whose sum is σ = 5375819988. Its totient is φ = 699955200.

The previous prime is 1968896791. The next prime is 1968896819. The reversal of 1968896800 is 86988691.

It can be written as a sum of positive squares in 6 ways, for example, as 953327376 + 1015569424 = 30876^2 + 31868^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9994302 + ... + 9994498.

Almost surely, 2^1968896800 is an apocalyptic number.

1968896800 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 1968896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687909994).

1968896800 is an abundant number, since it is smaller than the sum of its proper divisors (3406923188).

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

1968896800 is a wasteful number, since it uses less digits than its factorization.

1968896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 55.

The square root of 1968896800 is about 44372.2525910056. The cubic root of 1968896800 is about 1253.3556343801.

The spelling of 1968896800 in words is "one billion, nine hundred sixty-eight million, eight hundred ninety-six thousand, eight hundred".