205632 has 112 divisors (see below), whose sum is σ = 731520. Its totient is φ = 55296.

The previous prime is 205627. The next prime is 205633. The reversal of 205632 is 236502.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205633) by changing a digit.

205632 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12088 + ... + 12104.

2²⁰⁵⁶³² 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 205632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365760).

205632 is an abundant number, since it is smaller than the sum of its proper divisors (525888).

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

205632 is a wasteful number, since it uses less digits than its factorization.

205632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 205632 is about 453.4666470646. The cubic root of 205632 is about 59.0242168135.

The spelling of 205632 in words is "two hundred five thousand, six hundred thirty-two".