1204832160 has 576 divisors, whose sum is σ = 5094835200. Its totient is φ = 253034496.

The previous prime is 1204832137. The next prime is 1204832197. The reversal of 1204832160 is 612384021.

1204832160 is a `hidden beast` number, since 1 + 20 + 483 + 2 + 160 = 666.

1204832160 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 13537396 + ... + 13537484.

It is an arithmetic number, because the mean of its divisors is an integer number (8845200).

Almost surely, 2^1204832160 is an apocalyptic number.

1204832160 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 1204832160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547417600).

1204832160 is an abundant number, since it is smaller than the sum of its proper divisors (3890003040).

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

1204832160 is a wasteful number, since it uses less digits than its factorization.

1204832160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1204832160 is about 34710.6923007882. The cubic root of 1204832160 is about 1064.0830300592.

The spelling of 1204832160 in words is "one billion, two hundred four million, eight hundred thirty-two thousand, one hundred sixty".