1003000680 has 384 divisors, whose sum is σ = 3857518080. Its totient is φ = 223272960.

The previous prime is 1003000679. The next prime is 1003000723. The reversal of 1003000680 is 860003001.

1003000680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3163882 + ... + 3164198.

It is an arithmetic number, because the mean of its divisors is an integer number (10045620).

Almost surely, 2^1003000680 is an apocalyptic number.

1003000680 is a gapful number since it is divisible by the number (10) 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 1003000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1928759040).

1003000680 is an abundant number, since it is smaller than the sum of its proper divisors (2854517400).

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

1003000680 is a wasteful number, since it uses less digits than its factorization.

1003000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1003000680 is about 31670.1859798770. The cubic root of 1003000680 is about 1000.9992278778. Note that the first 3 decimals are identical.

Adding to 1003000680 its reverse (860003001), we get a palindrome (1863003681).

The spelling of 1003000680 in words is "one billion, three million, six hundred eighty", and thus it is an aban number.