206537940 has 108 divisors (see below), whose sum is σ = 728814996. Its totient is φ = 47206656.

The previous prime is 206537909. The next prime is 206537963. The reversal of 206537940 is 49735602.

It can be written as a sum of positive squares in 2 ways, for example, as 80784144 + 125753796 = 8988^2 + 11214^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 206537895 and 206537904.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2889 + ... + 20528.

It is an arithmetic number, because the mean of its divisors is an integer number (6748287).

Almost surely, 2^206537940 is an apocalyptic number.

206537940 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 206537940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364407498).

206537940 is an abundant number, since it is smaller than the sum of its proper divisors (522277056).

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

206537940 is a wasteful number, since it uses less digits than its factorization.

206537940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23446 (or 23434 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 206537940 is about 14371.4279040045. The cubic root of 206537940 is about 591.1076959380.

The spelling of 206537940 in words is "two hundred six million, five hundred thirty-seven thousand, nine hundred forty".