1968393312 has 168 divisors, whose sum is σ = 6117433560. Its totient is φ = 621457920.

The previous prime is 1968393307. The next prime is 1968393353. The reversal of 1968393312 is 2133938691.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 441012 + ... + 445452.

It is an arithmetic number, because the mean of its divisors is an integer number (36413295).

Almost surely, 2^1968393312 is an apocalyptic number.

1968393312 is a gapful number since it is divisible by the number (12) 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 1968393312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058716780).

1968393312 is an abundant number, since it is smaller than the sum of its proper divisors (4149040248).

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

1968393312 is an equidigital number, since it uses as much as digits as its factorization.

1968393312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4465 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 1968393312 is about 44366.5787727654. The cubic root of 1968393312 is about 1253.2487888749.

The spelling of 1968393312 in words is "one billion, nine hundred sixty-eight million, three hundred ninety-three thousand, three hundred twelve".