1303803648 has 144 divisors (see below), whose sum is σ = 4406536960. Its totient is φ = 372501504.

The previous prime is 1303803643. The next prime is 1303803689. The reversal of 1303803648 is 8463083031.

It is a happy number.

1303803648 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 8 + 0 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303803643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34911 + ... + 61857.

Almost surely, 2^1303803648 is an apocalyptic number.

1303803648 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 1303803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203268480).

1303803648 is an abundant number, since it is smaller than the sum of its proper divisors (3102733312).

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

1303803648 is an equidigital number, since it uses as much as digits as its factorization.

1303803648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26979 (or 26959 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1303803648 is about 36108.2213353137. The cubic root of 1303803648 is about 1092.4562759357.

Adding to 1303803648 its reverse (8463083031), we get a palindrome (9766886679).

The spelling of 1303803648 in words is "one billion, three hundred three million, eight hundred three thousand, six hundred forty-eight".