1003789920 has 384 divisors, whose sum is σ = 3901685760. Its totient is φ = 211875840.

The previous prime is 1003789907. The next prime is 1003789933. The reversal of 1003789920 is 299873001.

It is an interprime number because it is at equal distance from previous prime (1003789907) and next prime (1003789933).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2395471 + ... + 2395889.

It is an arithmetic number, because the mean of its divisors is an integer number (10160640).

Almost surely, 2^1003789920 is an apocalyptic number.

1003789920 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 1003789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950842880).

1003789920 is an abundant number, since it is smaller than the sum of its proper divisors (2897895840).

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

1003789920 is a wasteful number, since it uses less digits than its factorization.

1003789920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 1003789920 is about 31682.6438290746. The cubic root of 1003789920 is about 1001.2617140747.

The spelling of 1003789920 in words is "one billion, three million, seven hundred eighty-nine thousand, nine hundred twenty".