206540010 has 64 divisors (see below), whose sum is σ = 552268800. Its totient is φ = 54927936.

The previous prime is 206540003. The next prime is 206540017. The reversal of 206540010 is 10045602.

It is a happy number.

206540010 is a `hidden beast` number, since 2 + 0 + 654 + 0 + 0 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (206540003) and next prime (206540017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (206540017) 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, 128532 + ... + 130128.

It is an arithmetic number, because the mean of its divisors is an integer number (8629200).

Almost surely, 2^206540010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206540010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276134400).

206540010 is an abundant number, since it is smaller than the sum of its proper divisors (345728790).

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

206540010 is a wasteful number, since it uses less digits than its factorization.

206540010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 206540010 is about 14371.4999217201. The cubic root of 206540010 is about 591.1096706984.

206540010 divided by its sum of digits (18) gives a triangular number (11474445 = T₄₇₉₀).

Adding to 206540010 its reverse (10045602), we get a palindrome (216585612).

The spelling of 206540010 in words is "two hundred six million, five hundred forty thousand, ten".