206727120 has 80 divisors (see below), whose sum is σ = 712067520. Its totient is φ = 55126656.

The previous prime is 206727107. The next prime is 206727133. The reversal of 206727120 is 21727602.

It is an interprime number because it is at equal distance from previous prime (206727107) and next prime (206727133).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×206727120² = 85472204286988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 45694 + ... + 50013.

It is an arithmetic number, because the mean of its divisors is an integer number (8900844).

Almost surely, 2^206727120 is an apocalyptic number.

206727120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206727120 is an abundant number, since it is smaller than the sum of its proper divisors (505340400).

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

206727120 is a wasteful number, since it uses less digits than its factorization.

206727120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95729 (or 95717 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 206727120 is about 14378.0082069805. The cubic root of 206727120 is about 591.2881173959.

The spelling of 206727120 in words is "two hundred six million, seven hundred twenty-seven thousand, one hundred twenty".