206481984 has 56 divisors (see below), whose sum is σ = 553272960. Its totient is φ = 67951104.

The previous prime is 206481967. The next prime is 206481991. The reversal of 206481984 is 489184602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8362 + ... + 21974.

Almost surely, 2^206481984 is an apocalyptic number.

206481984 is a gapful number since it is divisible by the number (24) 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 206481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276636480).

206481984 is an abundant number, since it is smaller than the sum of its proper divisors (346790976).

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

206481984 is a wasteful number, since it uses less digits than its factorization.

206481984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13707 (or 13697 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 206481984 is about 14369.4809927151. The cubic root of 206481984 is about 591.0543094436.

It can be divided in two parts, 2064 and 81984, that added together give a palindrome (84048).

The spelling of 206481984 in words is "two hundred six million, four hundred eighty-one thousand, nine hundred eighty-four".