1205600032 has 72 divisors (see below), whose sum is σ = 2937404736. Its totient is φ = 476925696.

The previous prime is 1205600029. The next prime is 1205600069. The reversal of 1205600032 is 2300065021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1205599982 and 1205600009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21933 + ... + 53779.

It is an arithmetic number, because the mean of its divisors is an integer number (40797288).

Almost surely, 2^1205600032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205600032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468702368).

1205600032 is an abundant number, since it is smaller than the sum of its proper divisors (1731804704).

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

1205600032 is a wasteful number, since it uses less digits than its factorization.

1205600032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31890 (or 31869 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 1205600032 is about 34721.7515687213. The cubic root of 1205600032 is about 1064.3090383146.

Adding to 1205600032 its reverse (2300065021), we get a palindrome (3505665053).

The spelling of 1205600032 in words is "one billion, two hundred five million, six hundred thousand, thirty-two".