206481600 has 252 divisors, whose sum is σ = 791053536. Its totient is φ = 50780160.

The previous prime is 206481599. The next prime is 206481601. The reversal of 206481600 is 6184602.

206481600 is a `hidden beast` number, since 2 + 0 + 648 + 16 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (206481599) and next prime (206481601).

It is a super-2 number, since 2×206481600² = 85269302277120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (206481601) 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 35 ways as a sum of consecutive naturals, for example, 186649 + ... + 187751.

Almost surely, 2^206481600 is an apocalyptic number.

206481600 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 206481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395526768).

206481600 is an abundant number, since it is smaller than the sum of its proper divisors (584571936).

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

206481600 is a wasteful number, since it uses less digits than its factorization.

206481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 206481600 is about 14369.4676310572. The cubic root of 206481600 is about 591.0539430436.

The spelling of 206481600 in words is "two hundred six million, four hundred eighty-one thousand, six hundred".