1003915968 has 224 divisors, whose sum is σ = 3085551360. Its totient is φ = 285143040.

The previous prime is 1003915949. The next prime is 1003915993. The reversal of 1003915968 is 8695193001.

1003915968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2265955 + ... + 2266397.

Almost surely, 2^1003915968 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 1003915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542775680).

1003915968 is an abundant number, since it is smaller than the sum of its proper divisors (2081635392).

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

1003915968 is a wasteful number, since it uses less digits than its factorization.

1003915968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 1003915968 is about 31684.6329945606. The cubic root of 1003915968 is about 1001.3036224966.

The spelling of 1003915968 in words is "one billion, three million, nine hundred fifteen thousand, nine hundred sixty-eight".