206265040 has 40 divisors (see below), whose sum is σ = 482469120. Its totient is φ = 82006656.

The previous prime is 206265013. The next prime is 206265049. The reversal of 206265040 is 40562602.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 206264996 and 206265014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206265049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5641 + ... + 21079.

It is an arithmetic number, because the mean of its divisors is an integer number (12061728).

Almost surely, 2^206265040 is an apocalyptic number.

206265040 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 206265040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241234560).

206265040 is an abundant number, since it is smaller than the sum of its proper divisors (276204080).

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

206265040 is a wasteful number, since it uses less digits than its factorization.

206265040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15619 (or 15613 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 206265040 is about 14361.9302323887. The cubic root of 206265040 is about 590.8472363012.

The spelling of 206265040 in words is "two hundred six million, two hundred sixty-five thousand, forty".