206340372 has 180 divisors, whose sum is σ = 644814324. Its totient is φ = 57335040.

The previous prime is 206340349. The next prime is 206340377. The reversal of 206340372 is 273043602.

206340372 is a `hidden beast` number, since 20 + 634 + 0 + 3 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10732176 + 195608196 = 3276^2 + 13986^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206340377) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 650758 + ... + 651074.

Almost surely, 2^206340372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206340372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322407162).

206340372 is an abundant number, since it is smaller than the sum of its proper divisors (438473952).

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

206340372 is a wasteful number, since it uses less digits than its factorization.

206340372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 206340372 is about 14364.5526209486. The cubic root of 206340372 is about 590.9191571762.

Adding to 206340372 its reverse (273043602), we get a palindrome (479383974).

The spelling of 206340372 in words is "two hundred six million, three hundred forty thousand, three hundred seventy-two".