1205006985 has 192 divisors, whose sum is σ = 2715148800. Its totient is φ = 480743424.

The previous prime is 1205006981. The next prime is 1205007019. The reversal of 1205006985 is 5896005021.

It is a happy number.

1205006985 is a `hidden beast` number, since 12 + 0 + 500 + 69 + 85 = 666.

1205006985 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1205006985 - 2² = 1205006981 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1205006981) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8669046 + ... + 8669184.

It is an arithmetic number, because the mean of its divisors is an integer number (14141400).

Almost surely, 2^1205006985 is an apocalyptic number.

1205006985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1205006985 is an abundant number, since it is smaller than the sum of its proper divisors (1510141815).

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

1205006985 is a wasteful number, since it uses less digits than its factorization.

1205006985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1205006985 is about 34713.2105256774. The cubic root of 1205006985 is about 1064.1344948538.

The spelling of 1205006985 in words is "one billion, two hundred five million, six thousand, nine hundred eighty-five".