1205605632 has 576 divisors, whose sum is σ = 4473907200. Its totient is φ = 278691840.

The previous prime is 1205605553. The next prime is 1205605673. The reversal of 1205605632 is 2365065021.

It is a self number, because there is not a number n which added to its sum of digits gives 1205605632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32583918 + ... + 32583954.

It is an arithmetic number, because the mean of its divisors is an integer number (7767200).

Almost surely, 2^1205605632 is an apocalyptic number.

1205605632 is a gapful number since it is divisible by the number (12) 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 1205605632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236953600).

1205605632 is an abundant number, since it is smaller than the sum of its proper divisors (3268301568).

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

1205605632 is a wasteful number, since it uses less digits than its factorization.

1205605632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1205605632 is about 34721.8322097207. The cubic root of 1205605632 is about 1064.3106862137.

The spelling of 1205605632 in words is "one billion, two hundred five million, six hundred five thousand, six hundred thirty-two".