206818040 has 192 divisors, whose sum is σ = 583178400. Its totient is φ = 65387520.

The previous prime is 206818037. The next prime is 206818057. The reversal of 206818040 is 40818602.

It is a junction number, because it is equal to n+sod(n) for n = 206817994 and 206818012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1195394 + ... + 1195566.

Almost surely, 2^206818040 is an apocalyptic number.

206818040 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 206818040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291589200).

206818040 is an abundant number, since it is smaller than the sum of its proper divisors (376360360).

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

206818040 is a wasteful number, since it uses less digits than its factorization.

206818040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 206818040 is about 14381.1696325438. The cubic root of 206818040 is about 591.3747888757.

The spelling of 206818040 in words is "two hundred six million, eight hundred eighteen thousand, forty".