1005820560 has 120 divisors (see below), whose sum is σ = 3418781184. Its totient is φ = 264971520.

The previous prime is 1005820559. The next prime is 1005820561. The reversal of 1005820560 is 650285001.

It is an interprime number because it is at equal distance from previous prime (1005820559) and next prime (1005820561).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1005820561) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 51345 + ... + 68175.

Almost surely, 2^1005820560 is an apocalyptic number.

1005820560 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 1005820560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709390592).

1005820560 is an abundant number, since it is smaller than the sum of its proper divisors (2412960624).

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

1005820560 is a wasteful number, since it uses less digits than its factorization.

1005820560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16933 (or 16924 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1005820560 is about 31714.6742061147. The cubic root of 1005820560 is about 1001.9364344678.

The spelling of 1005820560 in words is "one billion, five million, eight hundred twenty thousand, five hundred sixty".