205967232 has 128 divisors (see below), whose sum is σ = 618487200. Its totient is φ = 67461120.

The previous prime is 205967213. The next prime is 205967233. The reversal of 205967232 is 232769502.

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

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 (205967233) 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, 210328 + ... + 211304.

Almost surely, 2^205967232 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 205967232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309243600).

205967232 is an abundant number, since it is smaller than the sum of its proper divisors (412519968).

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

205967232 is an equidigital number, since it uses as much as digits as its factorization.

205967232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 205967232 is about 14351.5585216380. The cubic root of 205967232 is about 590.5627418377.

The spelling of 205967232 in words is "two hundred five million, nine hundred sixty-seven thousand, two hundred thirty-two".