1242643968 has 240 divisors, whose sum is σ = 3935440080. Its totient is φ = 375717888.

The previous prime is 1242643921. The next prime is 1242643979. The reversal of 1242643968 is 8693462421.

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 23 ways as a sum of consecutive naturals, for example, 2271471 + ... + 2272017.

It is an arithmetic number, because the mean of its divisors is an integer number (16397667).

Almost surely, 2^1242643968 is an apocalyptic number.

1242643968 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 1242643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967720040).

1242643968 is an abundant number, since it is smaller than the sum of its proper divisors (2692796112).

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

1242643968 is a wasteful number, since it uses less digits than its factorization.

1242643968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 598 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 1242643968 is about 35251.1555555275. The cubic root of 1242643968 is about 1075.1001076415.

The spelling of 1242643968 in words is "one billion, two hundred forty-two million, six hundred forty-three thousand, nine hundred sixty-eight".