1003666944 has 320 divisors, whose sum is σ = 3417638400. Its totient is φ = 255688704.

The previous prime is 1003666907. The next prime is 1003666949. The reversal of 1003666944 is 4496663001.

1003666944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003666949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52824567 + ... + 52824585.

It is an arithmetic number, because the mean of its divisors is an integer number (10680120).

Almost surely, 2^1003666944 is an apocalyptic number.

1003666944 is a gapful number since it is divisible by the number (14) 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 1003666944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708819200).

1003666944 is an abundant number, since it is smaller than the sum of its proper divisors (2413971456).

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

1003666944 is an frugal number, since it uses more digits than its factorization.

1003666944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 1003666944 is about 31680.7030225025. The cubic root of 1003666944 is about 1001.2208236498.

The spelling of 1003666944 in words is "one billion, three million, six hundred sixty-six thousand, nine hundred forty-four".