206289720 has 256 divisors, whose sum is σ = 846720000. Its totient is φ = 43504128.

The previous prime is 206289701. The next prime is 206289767. The reversal of 206289720 is 27982602.

206289720 is a `hidden beast` number, since 2 + 0 + 628 + 9 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97231 + ... + 99329.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 2^206289720 is an apocalyptic number.

206289720 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 206289720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360000).

206289720 is an abundant number, since it is smaller than the sum of its proper divisors (640430280).

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

206289720 is a wasteful number, since it uses less digits than its factorization.

206289720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 206289720 is about 14362.7894226713. The cubic root of 206289720 is about 590.8708006891.

The spelling of 206289720 in words is "two hundred six million, two hundred eighty-nine thousand, seven hundred twenty".