1003521960 has 480 divisors, whose sum is σ = 4037473440. Its totient is φ = 224042112.

The previous prime is 1003521949. The next prime is 1003521979. The reversal of 1003521960 is 691253001.

1003521960 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23337699 + ... + 23337741.

It is an arithmetic number, because the mean of its divisors is an integer number (8411403).

Almost surely, 2^1003521960 is an apocalyptic number.

1003521960 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 1003521960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018736720).

1003521960 is an abundant number, since it is smaller than the sum of its proper divisors (3033951480).

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

1003521960 is an frugal number, since it uses more digits than its factorization.

1003521960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1003521960 is about 31678.4147330639. The cubic root of 1003521960 is about 1001.1726111124.

Adding to 1003521960 its reverse (691253001), we get a palindrome (1694774961).

The spelling of 1003521960 in words is "one billion, three million, five hundred twenty-one thousand, nine hundred sixty".