1996141968 has 140 divisors (see below), whose sum is σ = 5909872860. Its totient is φ = 652624128.

The previous prime is 1996141913. The next prime is 1996141981. The reversal of 1996141968 is 8691416991.

1996141968 is a `hidden beast` number, since 1 + 9 + 9 + 614 + 19 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1021953024 + 974188944 = 31968^2 + 31212^2 .

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

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

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, 616578 + ... + 619806.

Almost surely, 2^1996141968 is an apocalyptic number.

1996141968 is a gapful number since it is divisible by the number (18) 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 1996141968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954936430).

1996141968 is an abundant number, since it is smaller than the sum of its proper divisors (3913730892).

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

1996141968 is an equidigital number, since it uses as much as digits as its factorization.

1996141968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308 (or 3287 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 1996141968 is about 44678.2046192548. The cubic root of 1996141968 is about 1259.1103924595.

The spelling of 1996141968 in words is "one billion, nine hundred ninety-six million, one hundred forty-one thousand, nine hundred sixty-eight".