206670240 has 432 divisors, whose sum is σ = 857099880. Its totient is φ = 45158400.

The previous prime is 206670229. The next prime is 206670281. The reversal of 206670240 is 42076602.

It can be written as a sum of positive squares in 4 ways, for example, as 201526416 + 5143824 = 14196^2 + 2268^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2046190 + ... + 2046290.

Almost surely, 2^206670240 is an apocalyptic number.

206670240 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 206670240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428549940).

206670240 is an abundant number, since it is smaller than the sum of its proper divisors (650429640).

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

206670240 is a wasteful number, since it uses less digits than its factorization.

206670240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 206670240 is about 14376.0300500521. The cubic root of 206670240 is about 591.2338823683.

The spelling of 206670240 in words is "two hundred six million, six hundred seventy thousand, two hundred forty".