1003322320 has 480 divisors, whose sum is σ = 3391282944. Its totient is φ = 267632640.

The previous prime is 1003322267. The next prime is 1003322321. The reversal of 1003322320 is 232233001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1003322294 and 1003322303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003322321) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14974927 + ... + 14974993.

Almost surely, 2^1003322320 is an apocalyptic number.

1003322320 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 1003322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695641472).

1003322320 is an abundant number, since it is smaller than the sum of its proper divisors (2387960624).

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

1003322320 is a wasteful number, since it uses less digits than its factorization.

1003322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 1003322320 is about 31675.2635348153. The cubic root of 1003322320 is about 1001.1062158353.

Adding to 1003322320 its reverse (232233001), we get a palindrome (1235555321).

It can be divided in two parts, 1003 and 322320, that added together give a palindrome (323323).

The spelling of 1003322320 in words is "one billion, three million, three hundred twenty-two thousand, three hundred twenty".