205980672 has 88 divisors (see below), whose sum is σ = 578072800. Its totient is φ = 65028096.

The previous prime is 205980661. The next prime is 205980683. The reversal of 205980672 is 276089502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (205980661) and next prime (205980683).

It is a self number, because there is not a number n which added to its sum of digits gives 205980672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56604 + ... + 60132.

Almost surely, 2^205980672 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 205980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289036400).

205980672 is an abundant number, since it is smaller than the sum of its proper divisors (372092128).

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

205980672 is a wasteful number, since it uses less digits than its factorization.

205980672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 205980672 is about 14352.0267558279. The cubic root of 205980672 is about 590.5755869078.

The spelling of 205980672 in words is "two hundred five million, nine hundred eighty thousand, six hundred seventy-two".