206210040 has 128 divisors (see below), whose sum is σ = 656640000. Its totient is φ = 51660288.

The previous prime is 206210023. The next prime is 206210041. The reversal of 206210040 is 40012602.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206210041) 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 31 ways as a sum of consecutive naturals, for example, 339417 + ... + 340023.

It is an arithmetic number, because the mean of its divisors is an integer number (5130000).

Almost surely, 2^206210040 is an apocalyptic number.

206210040 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 206210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328320000).

206210040 is an abundant number, since it is smaller than the sum of its proper divisors (450429960).

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

206210040 is a wasteful number, since it uses less digits than its factorization.

206210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 206210040 is about 14360.0153203261. The cubic root of 206210040 is about 590.7947157079.

Adding to 206210040 its reverse (40012602), we get a palindrome (246222642).

The spelling of 206210040 in words is "two hundred six million, two hundred ten thousand, forty".