1005520 has 20 divisors (see below), whose sum is σ = 2338020. Its totient is φ = 402176.

The previous prime is 1005503. The next prime is 1005527. The reversal of 1005520 is 255001.

It can be written as a sum of positive squares in 2 ways, for example, as 767376 + 238144 = 876^2 + 488^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1005520² = 2022140940800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1005520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005527) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6205 + ... + 6364.

It is an arithmetic number, because the mean of its divisors is an integer number (116901).

2^1005520 is an apocalyptic number.

1005520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005520 is an abundant number, since it is smaller than the sum of its proper divisors (1332500).

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

1005520 is a wasteful number, since it uses less digits than its factorization.

1005520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12582 (or 12576 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 13.

The square root of 1005520 is about 1002.7562016762. The cubic root of 1005520 is about 100.1836624744.

The spelling of 1005520 in words is "one million, five thousand, five hundred twenty".