206029920 has 288 divisors, whose sum is σ = 725850720. Its totient is φ = 49029120.

The previous prime is 206029897. The next prime is 206029931. The reversal of 206029920 is 29920602.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5025100 + ... + 5025140.

It is an arithmetic number, because the mean of its divisors is an integer number (2520315).

Almost surely, 2^206029920 is an apocalyptic number.

206029920 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 206029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362925360).

206029920 is an abundant number, since it is smaller than the sum of its proper divisors (519820800).

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

206029920 is a wasteful number, since it uses less digits than its factorization.

206029920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 206029920 is about 14353.7423691524. The cubic root of 206029920 is about 590.6226501404.

The spelling of 206029920 in words is "two hundred six million, twenty-nine thousand, nine hundred twenty".