206201600 has 216 divisors, whose sum is σ = 581681520. Its totient is φ = 71680000.

The previous prime is 206201591. The next prime is 206201651. The reversal of 206201600 is 6102602.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2041550 + ... + 2041650.

It is an arithmetic number, because the mean of its divisors is an integer number (2692970).

Almost surely, 2^206201600 is an apocalyptic number.

206201600 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 206201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290840760).

206201600 is an abundant number, since it is smaller than the sum of its proper divisors (375479920).

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

206201600 is a wasteful number, since it uses less digits than its factorization.

206201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 206201600 is about 14359.7214457663. The cubic root of 206201600 is about 590.7866553577.

The spelling of 206201600 in words is "two hundred six million, two hundred one thousand, six hundred".