1003320144 has 90 divisors (see below), whose sum is σ = 2982913310. Its totient is φ = 314754048.

The previous prime is 1003320121. The next prime is 1003320167. The reversal of 1003320144 is 4410233001.

It is an interprime number because it is at equal distance from previous prime (1003320121) and next prime (1003320167).

It can be written as a sum of positive squares in 3 ways, for example, as 469155600 + 534164544 = 21660^2 + 23112^2 .

It is a super-2 number, since 2×1003320144² = 2013302622712361472, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29562 + ... + 53670.

Almost surely, 2^1003320144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491456655).

1003320144 is an abundant number, since it is smaller than the sum of its proper divisors (1979593166).

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

1003320144 is a wasteful number, since it uses less digits than its factorization.

1003320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24157 (or 24131 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1003320144 is about 31675.2291862269. The cubic root of 1003320144 is about 1001.1054921035.

Adding to 1003320144 its reverse (4410233001), we get a palindrome (5413553145).

The spelling of 1003320144 in words is "one billion, three million, three hundred twenty thousand, one hundred forty-four".