206966320 has 80 divisors (see below), whose sum is σ = 527109120. Its totient is φ = 74950400.

The previous prime is 206966303. The next prime is 206966321. The reversal of 206966320 is 23669602.

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

It is a super-2 number, since 2×206966320² = 85670115228684800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (206966321) 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 15 ways as a sum of consecutive naturals, for example, 421275 + ... + 421765.

It is an arithmetic number, because the mean of its divisors is an integer number (6588864).

Almost surely, 2^206966320 is an apocalyptic number.

206966320 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 206966320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263554560).

206966320 is an abundant number, since it is smaller than the sum of its proper divisors (320142800).

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

206966320 is a wasteful number, since it uses less digits than its factorization.

206966320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 206966320 is about 14386.3240614133. The cubic root of 206966320 is about 591.5160855530.

The spelling of 206966320 in words is "two hundred six million, nine hundred sixty-six thousand, three hundred twenty".