1238298768 has 240 divisors, whose sum is σ = 4234014720. Its totient is φ = 329785344.

The previous prime is 1238298713. The next prime is 1238298779. The reversal of 1238298768 is 8678928321.

It is a happy number.

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 47 ways as a sum of consecutive naturals, for example, 2175988 + ... + 2176556.

It is an arithmetic number, because the mean of its divisors is an integer number (17641728).

Almost surely, 2^1238298768 is an apocalyptic number.

1238298768 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 1238298768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117007360).

1238298768 is an abundant number, since it is smaller than the sum of its proper divisors (2995715952).

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

1238298768 is a wasteful number, since it uses less digits than its factorization.

1238298768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 725 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1238298768 is about 35189.4695612196. The cubic root of 1238298768 is about 1073.8455298372.

The spelling of 1238298768 in words is "one billion, two hundred thirty-eight million, two hundred ninety-eight thousand, seven hundred sixty-eight".