206712960 has 256 divisors, whose sum is σ = 714424320. Its totient is φ = 50688000.

The previous prime is 206712943. The next prime is 206712967. The reversal of 206712960 is 69217602.

It is not an unprimeable number, because it can be changed into a prime (206712967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1368885 + ... + 1369035.

It is an arithmetic number, because the mean of its divisors is an integer number (2790720).

Almost surely, 2^206712960 is an apocalyptic number.

206712960 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 206712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357212160).

206712960 is an abundant number, since it is smaller than the sum of its proper divisors (507711360).

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

206712960 is a wasteful number, since it uses less digits than its factorization.

206712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 206712960 is about 14377.5157798557. The cubic root of 206712960 is about 591.2746167790.

The spelling of 206712960 in words is "two hundred six million, seven hundred twelve thousand, nine hundred sixty".