206966144 has 192 divisors, whose sum is σ = 546981120. Its totient is φ = 76200960.

The previous prime is 206966131. The next prime is 206966147. The reversal of 206966144 is 441669602.

206966144 = 95² + 96² + ... + 853².

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 206966098 and 206966107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206966147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2493527 + ... + 2493609.

It is an arithmetic number, because the mean of its divisors is an integer number (2848860).

Almost surely, 2^206966144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273490560).

206966144 is an abundant number, since it is smaller than the sum of its proper divisors (340014976).

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

206966144 is a wasteful number, since it uses less digits than its factorization.

206966144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 206966144 is about 14386.3179444916. The cubic root of 206966144 is about 591.5159178818.

The spelling of 206966144 in words is "two hundred six million, nine hundred sixty-six thousand, one hundred forty-four".