1248082668 has 240 divisors, whose sum is σ = 3893218560. Its totient is φ = 341241984.

The previous prime is 1248082651. The next prime is 1248082669. The reversal of 1248082668 is 8662808421.

It is not an unprimeable number, because it can be changed into a prime (1248082669) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8978943 + ... + 8979081.

It is an arithmetic number, because the mean of its divisors is an integer number (16221744).

Almost surely, 2^1248082668 is an apocalyptic number.

1248082668 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 1248082668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946609280).

1248082668 is an abundant number, since it is smaller than the sum of its proper divisors (2645135892).

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

1248082668 is a wasteful number, since it uses less digits than its factorization.

1248082668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 1248082668 is about 35328.2134844093. The cubic root of 1248082668 is about 1076.6662942975. Note that the first 3 decimals are identical.

The spelling of 1248082668 in words is "one billion, two hundred forty-eight million, eighty-two thousand, six hundred sixty-eight".