1003221620 has 48 divisors (see below), whose sum is σ = 2167603200. Its totient is φ = 389786880.

The previous prime is 1003221601. The next prime is 1003221631. The reversal of 1003221620 is 261223001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193421 + ... + 198539.

It is an arithmetic number, because the mean of its divisors is an integer number (45158400).

Almost surely, 2^1003221620 is an apocalyptic number.

1003221620 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 1003221620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083801600).

1003221620 is an abundant number, since it is smaller than the sum of its proper divisors (1164381580).

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

1003221620 is a wasteful number, since it uses less digits than its factorization.

1003221620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5408 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1003221620 is about 31673.6739264645. The cubic root of 1003221620 is about 1001.0727221890.

Adding to 1003221620 its reverse (261223001), we get a palindrome (1264444621).

The spelling of 1003221620 in words is "one billion, three million, two hundred twenty-one thousand, six hundred twenty".