1827085540 has 96 divisors (see below), whose sum is σ = 4738003200. Its totient is φ = 589542912.

The previous prime is 1827085517. The next prime is 1827085541. The reversal of 1827085540 is 455807281.

It is a junction number, because it is equal to n+sod(n) for n = 1827085493 and 1827085502.

It is not an unprimeable number, because it can be changed into a prime (1827085541) 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 31 ways as a sum of consecutive naturals, for example, 108787 + ... + 124453.

It is an arithmetic number, because the mean of its divisors is an integer number (49354200).

Almost surely, 2^1827085540 is an apocalyptic number.

1827085540 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 1827085540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2369001600).

1827085540 is an abundant number, since it is smaller than the sum of its proper divisors (2910917660).

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

1827085540 is a wasteful number, since it uses less digits than its factorization.

1827085540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15714 (or 15698 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 40.

The square root of 1827085540 is about 42744.4211564503. The cubic root of 1827085540 is about 1222.5115197217.

The spelling of 1827085540 in words is "one billion, eight hundred twenty-seven million, eighty-five thousand, five hundred forty".