1243831968 has 144 divisors (see below), whose sum is σ = 3635907912. Its totient is φ = 403200000.

The previous prime is 1243831957. The next prime is 1243831969. The reversal of 1243831968 is 8691383421.

It can be written as a sum of positive squares in 4 ways, for example, as 1195223184 + 48608784 = 34572^2 + 6972^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1243831969) 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, 1774018 + ... + 1774718.

Almost surely, 2^1243831968 is an apocalyptic number.

1243831968 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 1243831968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817953956).

1243831968 is an abundant number, since it is smaller than the sum of its proper divisors (2392075944).

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

1243831968 is a wasteful number, since it uses less digits than its factorization.

1243831968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 868 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 1243831968 is about 35268.0020415107. The cubic root of 1243831968 is about 1075.4426064206.

The spelling of 1243831968 in words is "one billion, two hundred forty-three million, eight hundred thirty-one thousand, nine hundred sixty-eight".