1224388768 has 48 divisors (see below), whose sum is σ = 2482704000. Its totient is φ = 594127872.

The previous prime is 1224388757. The next prime is 1224388769. The reversal of 1224388768 is 8678834221.

It is not an unprimeable number, because it can be changed into a prime (1224388769) 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 7 ways as a sum of consecutive naturals, for example, 145048 + ... + 153256.

It is an arithmetic number, because the mean of its divisors is an integer number (51723000).

Almost surely, 2^1224388768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224388768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241352000).

1224388768 is an abundant number, since it is smaller than the sum of its proper divisors (1258315232).

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

1224388768 is an equidigital number, since it uses as much as digits as its factorization.

1224388768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8357 (or 8349 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

The square root of 1224388768 is about 34991.2670247878. The cubic root of 1224388768 is about 1069.8094888932.

The spelling of 1224388768 in words is "one billion, two hundred twenty-four million, three hundred eighty-eight thousand, seven hundred sixty-eight".