206268840 has 48 divisors (see below), whose sum is σ = 670374900. Its totient is φ = 55004928.

The previous prime is 206268833. The next prime is 206268841. The reversal of 206268840 is 48862602.

206268840 is a `hidden beast` number, since 20 + 626 + 8 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 193265604 + 13003236 = 13902^2 + 3606^2 .

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 = 206268795 and 206268804.

It is not an unprimeable number, because it can be changed into a prime (206268841) 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 11 ways as a sum of consecutive naturals, for example, 286125 + ... + 286844.

Almost surely, 2^206268840 is an apocalyptic number.

206268840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206268840 is an abundant number, since it is smaller than the sum of its proper divisors (464106060).

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

206268840 is a wasteful number, since it uses less digits than its factorization.

206268840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572986 (or 572979 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 206268840 is about 14362.0625259745. The cubic root of 206268840 is about 590.8508646519.

The spelling of 206268840 in words is "two hundred six million, two hundred sixty-eight thousand, eight hundred forty".