1205084160 has 336 divisors, whose sum is σ = 4784360256. Its totient is φ = 274857984.

The previous prime is 1205084141. The next prime is 1205084171. The reversal of 1205084160 is 614805021.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2580247 + ... + 2580713.

Almost surely, 2^1205084160 is an apocalyptic number.

1205084160 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 1205084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392180128).

1205084160 is an abundant number, since it is smaller than the sum of its proper divisors (3579276096).

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

1205084160 is an equidigital number, since it uses as much as digits as its factorization.

1205084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1205084160 is about 34714.3221163830. The cubic root of 1205084160 is about 1064.1572119632.

Adding to 1205084160 its reverse (614805021), we get a palindrome (1819889181).

The spelling of 1205084160 in words is "one billion, two hundred five million, eighty-four thousand, one hundred sixty".