1003520 has 78 divisors (see below), whose sum is σ = 2801322. Its totient is φ = 344064.

The previous prime is 1003517. The next prime is 1003543. The reversal of 1003520 is 253001.

It can be written as a sum of positive squares in only one way, i.e., 802816 + 200704 = 896^2 + 448^2 .

It is a nialpdrome in base 4 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143357 + ... + 143363.

2^1003520 is an apocalyptic number.

1003520 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 1003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400661).

1003520 is an abundant number, since it is smaller than the sum of its proper divisors (1797802).

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

1003520 is an frugal number, since it uses more digits than its factorization.

1003520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 1003520 is about 1001.7584539199. The cubic root of 1003520 is about 100.1171959308.

Adding to 1003520 its reverse (253001), we get a palindrome (1256521).

The spelling of 1003520 in words is "one million, three thousand, five hundred twenty".