206807040 has 448 divisors, whose sum is σ = 849294720. Its totient is φ = 47185920.

The previous prime is 206807009. The next prime is 206807047. The reversal of 206807040 is 40708602.

206807040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 206806995 and 206807013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206807047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12165112 + ... + 12165128.

Almost surely, 2^206807040 is an apocalyptic number.

206807040 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 206807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424647360).

206807040 is an abundant number, since it is smaller than the sum of its proper divisors (642487680).

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

206807040 is a wasteful number, since it uses less digits than its factorization.

206807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 206807040 is about 14380.7871829048. The cubic root of 206807040 is about 591.3643042358.

The spelling of 206807040 in words is "two hundred six million, eight hundred seven thousand, forty".