1003003664 has 80 divisors (see below), whose sum is σ = 2156372400. Its totient is φ = 449003520.

The previous prime is 1003003649. The next prime is 1003003669. The reversal of 1003003664 is 4663003001.

1003003664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 210018064 + 792985600 = 14492^2 + 28160^2 .

It is not an unprimeable number, because it can be changed into a prime (1003003669) 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, 2873762 + ... + 2874110.

It is an arithmetic number, because the mean of its divisors is an integer number (26954655).

Almost surely, 2^1003003664 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 1003003664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078186200).

1003003664 is an abundant number, since it is smaller than the sum of its proper divisors (1153368736).

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

1003003664 is a wasteful number, since it uses less digits than its factorization.

1003003664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 1003003664 is about 31670.2330903958. The cubic root of 1003003664 is about 1001.0002205586. Note that the first 3 decimals are identical.

Adding to 1003003664 its reverse (4663003001), we get a palindrome (5666006665).

The spelling of 1003003664 in words is "one billion, three million, three thousand, six hundred sixty-four".