1003959648 has 72 divisors (see below), whose sum is σ = 2865844800. Its totient is φ = 333383424.

The previous prime is 1003959647. The next prime is 1003959673. The reversal of 1003959648 is 8469593001.

It is a happy number.

1003959648 is a `hidden beast` number, since 10 + 0 + 3 + 9 + 596 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003959641) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 70993 + ... + 83951.

It is an arithmetic number, because the mean of its divisors is an integer number (39803400).

Almost surely, 2^1003959648 is an apocalyptic number.

1003959648 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 1003959648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432922400).

1003959648 is an abundant number, since it is smaller than the sum of its proper divisors (1861885152).

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

1003959648 is a wasteful number, since it uses less digits than its factorization.

1003959648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13244 (or 13233 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1003959648 is about 31685.3222801978. The cubic root of 1003959648 is about 1001.3181443986.

The spelling of 1003959648 in words is "one billion, three million, nine hundred fifty-nine thousand, six hundred forty-eight".