1205968608 has 192 divisors, whose sum is σ = 3988051200. Its totient is φ = 351475200.

The previous prime is 1205968553. The next prime is 1205968633. The reversal of 1205968608 is 8068695021.

1205968608 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210583 + ... + 216233.

It is an arithmetic number, because the mean of its divisors is an integer number (20771100).

Almost surely, 2^1205968608 is an apocalyptic number.

1205968608 is a gapful number since it is divisible by the number (18) 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 1205968608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994025600).

1205968608 is an abundant number, since it is smaller than the sum of its proper divisors (2782082592).

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

1205968608 is a wasteful number, since it uses less digits than its factorization.

1205968608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5702 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1205968608 is about 34727.0587294692. The cubic root of 1205968608 is about 1064.4174874378.

The spelling of 1205968608 in words is "one billion, two hundred five million, nine hundred sixty-eight thousand, six hundred eight".