205467960 has 64 divisors (see below), whose sum is σ = 619178400. Its totient is φ = 54544896.

The previous prime is 205467959. The next prime is 205467971. The reversal of 205467960 is 69764502.

205467960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23742 + ... + 31218.

Almost surely, 2^205467960 is an apocalyptic number.

205467960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205467960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309589200).

205467960 is an abundant number, since it is smaller than the sum of its proper divisors (413710440).

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

205467960 is a wasteful number, since it uses less digits than its factorization.

205467960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7720 (or 7716 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 205467960 is about 14334.1536199386. The cubic root of 205467960 is about 590.0851739526.

The spelling of 205467960 in words is "two hundred five million, four hundred sixty-seven thousand, nine hundred sixty".