206571040 has 96 divisors (see below), whose sum is σ = 553331520. Its totient is φ = 72244224.

The previous prime is 206571019. The next prime is 206571077. The reversal of 206571040 is 40175602.

206571040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 206570996 and 206571014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36907 + ... + 42133.

It is an arithmetic number, because the mean of its divisors is an integer number (5763870).

Almost surely, 2^206571040 is an apocalyptic number.

206571040 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 206571040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276665760).

206571040 is an abundant number, since it is smaller than the sum of its proper divisors (346760480).

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

206571040 is a wasteful number, since it uses less digits than its factorization.

206571040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274 (or 5266 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 206571040 is about 14372.5794483802. The cubic root of 206571040 is about 591.1392714436.

The spelling of 206571040 in words is "two hundred six million, five hundred seventy-one thousand, forty".