1005565120 has 112 divisors (see below), whose sum is σ = 2880725760. Its totient is φ = 326605824.

The previous prime is 1005565097. The next prime is 1005565133. The reversal of 1005565120 is 215655001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1005565120² = 2022322421121228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30747 + ... + 54373.

Almost surely, 2^1005565120 is an apocalyptic number.

1005565120 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 1005565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440362880).

1005565120 is an abundant number, since it is smaller than the sum of its proper divisors (1875160640).

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

1005565120 is a wasteful number, since it uses less digits than its factorization.

1005565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23670 (or 23660 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 1005565120 is about 31710.6467925206. The cubic root of 1005565120 is about 1001.8516094265.

The spelling of 1005565120 in words is "one billion, five million, five hundred sixty-five thousand, one hundred twenty".