1005327360 has 132 divisors (see below), whose sum is σ = 3483592788. Its totient is φ = 268075008.

The previous prime is 1005327343. The next prime is 1005327391. The reversal of 1005327360 is 637235001.

It is a happy number.

1005327360 is a `hidden beast` number, since 1 + 0 + 0 + 532 + 73 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 522031104 + 483296256 = 22848^2 + 21984^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35172 + ... + 56988.

Almost surely, 2^1005327360 is an apocalyptic number.

1005327360 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 1005327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741796394).

1005327360 is an abundant number, since it is smaller than the sum of its proper divisors (2478265428).

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

1005327360 is a wasteful number, since it uses less digits than its factorization.

1005327360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21848 (or 21827 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1005327360 is about 31706.8976722731. The cubic root of 1005327360 is about 1001.7726425484.

The spelling of 1005327360 in words is "one billion, five million, three hundred twenty-seven thousand, three hundred sixty".