1968385536 has 240 divisors, whose sum is σ = 6349687344. Its totient is φ = 605159424.

The previous prime is 1968385487. The next prime is 1968385537. The reversal of 1968385536 is 6355838691.

1968385536 is a `hidden beast` number, since 1 + 9 + 6 + 83 + 8 + 553 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968385537) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1616800 + ... + 1618016.

Almost surely, 2^1968385536 is an apocalyptic number.

1968385536 is a gapful number since it is divisible by the number (16) 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 1968385536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174843672).

1968385536 is an abundant number, since it is smaller than the sum of its proper divisors (4381301808).

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

1968385536 is an equidigital number, since it uses as much as digits as its factorization.

1968385536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1235 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The square root of 1968385536 is about 44366.4911391469. The cubic root of 1968385536 is about 1253.2471385821.

The spelling of 1968385536 in words is "one billion, nine hundred sixty-eight million, three hundred eighty-five thousand, five hundred thirty-six".