206889984 has 176 divisors, whose sum is σ = 700892800. Its totient is φ = 59056128.

The previous prime is 206889971. The next prime is 206889989. The reversal of 206889984 is 489988602.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 206889984.

It is not an unprimeable number, because it can be changed into a prime (206889989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193002 + ... + 194070.

Almost surely, 2^206889984 is an apocalyptic number.

206889984 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 206889984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350446400).

206889984 is an abundant number, since it is smaller than the sum of its proper divisors (494002816).

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

206889984 is a wasteful number, since it uses less digits than its factorization.

206889984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 206889984 is about 14383.6707415041. The cubic root of 206889984 is about 591.4433530677.

The spelling of 206889984 in words is "two hundred six million, eight hundred eighty-nine thousand, nine hundred eighty-four".