205689216 has 128 divisors (see below), whose sum is σ = 580469760. Its totient is φ = 64419840.

The previous prime is 205689191. The next prime is 205689241. The reversal of 205689216 is 612986502.

It is an interprime number because it is at equal distance from previous prime (205689191) and next prime (205689241).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440215 + ... + 440681.

It is an arithmetic number, because the mean of its divisors is an integer number (4534920).

Almost surely, 2^205689216 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 205689216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290234880).

205689216 is an abundant number, since it is smaller than the sum of its proper divisors (374780544).

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

205689216 is a wasteful number, since it uses less digits than its factorization.

205689216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 205689216 is about 14341.8693342256. The cubic root of 205689216 is about 590.2969069632.

The spelling of 205689216 in words is "two hundred five million, six hundred eighty-nine thousand, two hundred sixteen".