206489920 has 168 divisors, whose sum is σ = 616589064. Its totient is φ = 65286144.

The previous prime is 206489903. The next prime is 206489923. The reversal of 206489920 is 29984602.

It can be written as a sum of positive squares in 4 ways, for example, as 12054784 + 194435136 = 3472^2 + 13944^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206489923) 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 23 ways as a sum of consecutive naturals, for example, 203334 + ... + 204346.

It is an arithmetic number, because the mean of its divisors is an integer number (3670173).

Almost surely, 2^206489920 is an apocalyptic number.

206489920 is a gapful number since it is divisible by the number (20) 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 206489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308294532).

206489920 is an abundant number, since it is smaller than the sum of its proper divisors (410099144).

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

206489920 is a wasteful number, since it uses less digits than its factorization.

206489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 206489920 is about 14369.7571308634. The cubic root of 206489920 is about 591.0618816086.

The spelling of 206489920 in words is "two hundred six million, four hundred eighty-nine thousand, nine hundred twenty".