1003663248 has 80 divisors (see below), whose sum is σ = 2976476160. Its totient is φ = 285475968.

The previous prime is 1003663217. The next prime is 1003663267. The reversal of 1003663248 is 8423663001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69693 + ... + 82851.

It is an arithmetic number, because the mean of its divisors is an integer number (37205952).

Almost surely, 2^1003663248 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 1003663248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488238080).

1003663248 is an abundant number, since it is smaller than the sum of its proper divisors (1972812912).

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

1003663248 is a wasteful number, since it uses less digits than its factorization.

1003663248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13404 (or 13398 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 1003663248 is about 31680.6446904099. The cubic root of 1003663248 is about 1001.2195946509.

The spelling of 1003663248 in words is "one billion, three million, six hundred sixty-three thousand, two hundred forty-eight".