206984712 has 64 divisors (see below), whose sum is σ = 573802560. Its totient is φ = 61689600.

The previous prime is 206984693. The next prime is 206984717. The reversal of 206984712 is 217489602.

It is a super-3 number, since 3×206984712³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (206984717) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9678 + ... + 22530.

It is an arithmetic number, because the mean of its divisors is an integer number (8965665).

Almost surely, 2^206984712 is an apocalyptic number.

206984712 is a gapful number since it is divisible by the number (22) 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 206984712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286901280).

206984712 is an abundant number, since it is smaller than the sum of its proper divisors (366817848).

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

206984712 is a wasteful number, since it uses less digits than its factorization.

206984712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12934 (or 12930 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 206984712 is about 14386.9632654011. The cubic root of 206984712 is about 591.5336066672.

The spelling of 206984712 in words is "two hundred six million, nine hundred eighty-four thousand, seven hundred twelve".