1231968168 has 96 divisors (see below), whose sum is σ = 3386922240. Its totient is φ = 404507520.

The previous prime is 1231968137. The next prime is 1231968173. The reversal of 1231968168 is 8618691321.

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 23 ways as a sum of consecutive naturals, for example, 2009430 + ... + 2010042.

It is an arithmetic number, because the mean of its divisors is an integer number (35280440).

Almost surely, 2^1231968168 is an apocalyptic number.

1231968168 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 1231968168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693461120).

1231968168 is an abundant number, since it is smaller than the sum of its proper divisors (2154954072).

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

1231968168 is a wasteful number, since it uses less digits than its factorization.

1231968168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 992 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1231968168 is about 35099.4040975057. The cubic root of 1231968168 is about 1072.0124492688.

The spelling of 1231968168 in words is "one billion, two hundred thirty-one million, nine hundred sixty-eight thousand, one hundred sixty-eight".