205616632 has 64 divisors (see below), whose sum is σ = 462823200. Its totient is φ = 84602880.

The previous prime is 205616617. The next prime is 205616633. The reversal of 205616632 is 236616502.

205616632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 205616594 and 205616603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205616633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30532 + ... + 36652.

Almost surely, 2^205616632 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 205616632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231411600).

205616632 is an abundant number, since it is smaller than the sum of its proper divisors (257206568).

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

205616632 is a wasteful number, since it uses less digits than its factorization.

205616632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6176 (or 6172 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 205616632 is about 14339.3386179419. The cubic root of 205616632 is about 590.2274637641.

The spelling of 205616632 in words is "two hundred five million, six hundred sixteen thousand, six hundred thirty-two".