1242384768 has 192 divisors, whose sum is σ = 3886771200. Its totient is φ = 379468800.

The previous prime is 1242384761. The next prime is 1242384809. The reversal of 1242384768 is 8674832421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242384761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677613 + ... + 679443.

It is an arithmetic number, because the mean of its divisors is an integer number (20243600).

Almost surely, 2^1242384768 is an apocalyptic number.

1242384768 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 1242384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943385600).

1242384768 is an abundant number, since it is smaller than the sum of its proper divisors (2644386432).

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

1242384768 is a wasteful number, since it uses less digits than its factorization.

1242384768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1886 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 1242384768 is about 35247.4788885673. The cubic root of 1242384768 is about 1075.0253516286.

The spelling of 1242384768 in words is "one billion, two hundred forty-two million, three hundred eighty-four thousand, seven hundred sixty-eight".