206496900 has 81 divisors (see below), whose sum is σ = 648607141. Its totient is φ = 54950880.

The previous prime is 206496877. The next prime is 206496911. The reversal of 206496900 is 9694602.

The square root of 206496900 is 14370.

It is a perfect power (a square), and thus also a powerful number.

206496900 is a `hidden beast` number, since 2 + 0 + 649 + 6 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74338884 + 132158016 = 8622^2 + 11496^2 .

It is a super-2 number, since 2×206496900² = 85281939419220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 430861 + ... + 431339.

Almost surely, 2^206496900 is an apocalyptic number.

206496900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

206496900 is the 14370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206496900

206496900 is an abundant number, since it is smaller than the sum of its proper divisors (442110241).

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

206496900 is a wasteful number, since it uses less digits than its factorization.

206496900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The cubic root of 206496900 is about 591.0685414420.

Multiplying 206496900 by its sum of digits (36), we get a square (7433888400 = 86220²).

206496900 divided by its sum of digits (36) gives a square (5736025 = 2395²).

The spelling of 206496900 in words is "two hundred six million, four hundred ninety-six thousand, nine hundred".