1205882160 has 360 divisors, whose sum is σ = 4530277008. Its totient is φ = 264499200.

The previous prime is 1205882159. The next prime is 1205882173. The reversal of 1205882160 is 612885021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19768530 + ... + 19768590.

Almost surely, 2^1205882160 is an apocalyptic number.

1205882160 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 1205882160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265138504).

1205882160 is an abundant number, since it is smaller than the sum of its proper divisors (3324394848).

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

1205882160 is a wasteful number, since it uses less digits than its factorization.

1205882160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 1205882160 is about 34725.8140293356. The cubic root of 1205882160 is about 1064.3920531213.

The spelling of 1205882160 in words is "one billion, two hundred five million, eight hundred eighty-two thousand, one hundred sixty".