1205984 has 36 divisors (see below), whose sum is σ = 2582496. Its totient is φ = 554112.

The previous prime is 1205977. The next prime is 1205999. The reversal of 1205984 is 4895021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5297 + ... + 5519.

It is an arithmetic number, because the mean of its divisors is an integer number (71736).

2^1205984 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 1205984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291248).

1205984 is an abundant number, since it is smaller than the sum of its proper divisors (1376512).

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

1205984 is a wasteful number, since it uses less digits than its factorization.

1205984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 1205984 is about 1098.1730282610. The cubic root of 1205984 is about 106.4422015871.

The spelling of 1205984 in words is "one million, two hundred five thousand, nine hundred eighty-four".