1005320 has 32 divisors (see below), whose sum is σ = 2320920. Its totient is φ = 391680.

The previous prime is 1005317. The next prime is 1005331. The reversal of 1005320 is 235001.

1005320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 198916 + 806404 = 446^2 + 898^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1334 + ... + 1946.

2^1005320 is an apocalyptic number.

1005320 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 1005320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160460).

1005320 is an abundant number, since it is smaller than the sum of its proper divisors (1315600).

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

1005320 is a wasteful number, since it uses less digits than its factorization.

1005320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

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

The square root of 1005320 is about 1002.6564715794. The cubic root of 1005320 is about 100.1770197884.

The spelling of 1005320 in words is "one million, five thousand, three hundred twenty".