1968189600 has 288 divisors, whose sum is σ = 6955804800. Its totient is φ = 480522240.

The previous prime is 1968189589. The next prime is 1968189683. The reversal of 1968189600 is 69818691.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1968189600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6208642 + ... + 6208958.

It is an arithmetic number, because the mean of its divisors is an integer number (24152100).

Almost surely, 2^1968189600 is an apocalyptic number.

1968189600 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 1968189600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477902400).

1968189600 is an abundant number, since it is smaller than the sum of its proper divisors (4987615200).

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

1968189600 is a wasteful number, since it uses less digits than its factorization.

1968189600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 1968189600 is about 44364.2829312049. The cubic root of 1968189600 is about 1253.2055538460.

The spelling of 1968189600 in words is "one billion, nine hundred sixty-eight million, one hundred eighty-nine thousand, six hundred".