206365740 has 96 divisors (see below), whose sum is σ = 683182080. Its totient is φ = 45540096.

The previous prime is 206365727. The next prime is 206365777. The reversal of 206365740 is 47563602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3709 + ... + 20651.

It is an arithmetic number, because the mean of its divisors is an integer number (7116480).

Almost surely, 2^206365740 is an apocalyptic number.

206365740 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 206365740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341591040).

206365740 is an abundant number, since it is smaller than the sum of its proper divisors (476816340).

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

206365740 is a wasteful number, since it uses less digits than its factorization.

206365740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16991 (or 16989 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 206365740 is about 14365.4356007745. The cubic root of 206365740 is about 590.9433725422.

The spelling of 206365740 in words is "two hundred six million, three hundred sixty-five thousand, seven hundred forty".