1968131844 has 324 divisors, whose sum is σ = 6345651312. Its totient is φ = 531528480.

The previous prime is 1968131831. The next prime is 1968131863. The reversal of 1968131844 is 4481318691.

It is a tau number, because it is divible by the number of its divisors (324).

It is a self number, because there is not a number n which added to its sum of digits gives 1968131844.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 45770487 + ... + 45770529.

Almost surely, 2^1968131844 is an apocalyptic number.

1968131844 is a gapful number since it is divisible by the number (14) 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 1968131844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172825656).

1968131844 is an abundant number, since it is smaller than the sum of its proper divisors (4377519468).

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

1968131844 is a wasteful number, since it uses less digits than its factorization.

1968131844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 86 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1968131844 is about 44363.6319973917. The cubic root of 1968131844 is about 1253.1932953983.

The spelling of 1968131844 in words is "one billion, nine hundred sixty-eight million, one hundred thirty-one thousand, eight hundred forty-four".