1968482304 has 192 divisors, whose sum is σ = 5907283200. Its totient is φ = 647626752.

The previous prime is 1968482297. The next prime is 1968482363. The reversal of 1968482304 is 4032848691.

It is a happy number.

1968482304 is a `hidden beast` number, since 196 + 84 + 82 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1968482304² = 7749845162322296832, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1968482304.

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 15 ways as a sum of consecutive naturals, for example, 5363529 + ... + 5363895.

It is an arithmetic number, because the mean of its divisors is an integer number (30767100).

Almost surely, 2^1968482304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953641600).

1968482304 is an abundant number, since it is smaller than the sum of its proper divisors (3938800896).

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

1968482304 is an equidigital number, since it uses as much as digits as its factorization.

1968482304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1968482304 is about 44367.5816785184. The cubic root of 1968482304 is about 1253.2676752486.

The spelling of 1968482304 in words is "one billion, nine hundred sixty-eight million, four hundred eighty-two thousand, three hundred four".