1254336768 has 108 divisors (see below), whose sum is σ = 3741470460. Its totient is φ = 403673088.

The previous prime is 1254336767. The next prime is 1254336803. The reversal of 1254336768 is 8676334521.

1254336768 is a `hidden beast` number, since 1 + 2 + 543 + 36 + 76 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1068505344 + 185831424 = 32688^2 + 13632^2 .

It is not an unprimeable number, because it can be changed into a prime (1254336761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57430 + ... + 76202.

It is an arithmetic number, because the mean of its divisors is an integer number (34643245).

Almost surely, 2^1254336768 is an apocalyptic number.

1254336768 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 1254336768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870735230).

1254336768 is an abundant number, since it is smaller than the sum of its proper divisors (2487133692).

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

1254336768 is a wasteful number, since it uses less digits than its factorization.

1254336768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18824 (or 18807 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 1254336768 is about 35416.6171168281. The cubic root of 1254336768 is about 1078.4616782106.

The spelling of 1254336768 in words is "one billion, two hundred fifty-four million, three hundred thirty-six thousand, seven hundred sixty-eight".