206971200 has 210 divisors, whose sum is σ = 761250446. Its totient is φ = 55157760.

The previous prime is 206971189. The next prime is 206971217. The reversal of 206971200 is 2179602.

It can be written as a sum of positive squares in 3 ways, for example, as 1679616 + 205291584 = 1296^2 + 14328^2 .

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 128802 + ... + 130398.

Almost surely, 2^206971200 is an apocalyptic number.

206971200 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 206971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380625223).

206971200 is an abundant number, since it is smaller than the sum of its proper divisors (554279246).

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

206971200 is a wasteful number, since it uses less digits than its factorization.

206971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 206971200 is about 14386.4936659354. The cubic root of 206971200 is about 591.5207345796.

The spelling of 206971200 in words is "two hundred six million, nine hundred seventy-one thousand, two hundred".