1242816768 has 216 divisors, whose sum is σ = 3718591968. Its totient is φ = 399015936.

The previous prime is 1242816749. The next prime is 1242816787. The reversal of 1242816768 is 8676182421.

1242816768 is a `hidden beast` number, since 1 + 2 + 428 + 167 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (1242816749) and next prime (1242816787).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (258048) is a multiple of the sum of its prime divisors (252).

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, 12812496 + ... + 12812592.

Almost surely, 2^1242816768 is an apocalyptic number.

1242816768 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 1242816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859295984).

1242816768 is an abundant number, since it is smaller than the sum of its proper divisors (2475775200).

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

1242816768 is an equidigital number, since it uses as much as digits as its factorization.

1242816768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 1242816768 is about 35253.6064538084. The cubic root of 1242816768 is about 1075.1499392083.

The spelling of 1242816768 in words is "one billion, two hundred forty-two million, eight hundred sixteen thousand, seven hundred sixty-eight".