206871120 has 60 divisors (see below), whose sum is σ = 694744596. Its totient is φ = 55165440.

The previous prime is 206871101. The next prime is 206871121. The reversal of 206871120 is 21178602.

It can be written as a sum of positive squares in 2 ways, for example, as 163942416 + 42928704 = 12804^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206871121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142941 + ... + 144380.

Almost surely, 2^206871120 is an apocalyptic number.

206871120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206871120 is an abundant number, since it is smaller than the sum of its proper divisors (487873476).

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

206871120 is a wasteful number, since it uses less digits than its factorization.

206871120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287340 (or 287331 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 206871120 is about 14383.0149829582. The cubic root of 206871120 is about 591.4253768043.

The spelling of 206871120 in words is "two hundred six million, eight hundred seventy-one thousand, one hundred twenty".