205776216 has 96 divisors (see below), whose sum is σ = 584868960. Its totient is φ = 65235456.

The previous prime is 205776191. The next prime is 205776217. The reversal of 205776216 is 612677502.

205776216 is a `hidden beast` number, since 20 + 5 + 7 + 7 + 621 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205776217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518130 + ... + 518526.

It is an arithmetic number, because the mean of its divisors is an integer number (6092385).

Almost surely, 2^205776216 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 205776216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292434480).

205776216 is an abundant number, since it is smaller than the sum of its proper divisors (379092744).

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

205776216 is a wasteful number, since it uses less digits than its factorization.

205776216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 205776216 is about 14344.9020909869. The cubic root of 205776216 is about 590.3801208412.

The spelling of 205776216 in words is "two hundred five million, seven hundred seventy-six thousand, two hundred sixteen".