205889040 has 480 divisors, whose sum is σ = 877443840. Its totient is φ = 43794432.

The previous prime is 205889027. The next prime is 205889041. The reversal of 205889040 is 40988502.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 205888986 and 205889004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205889041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2313316 + ... + 2313404.

It is an arithmetic number, because the mean of its divisors is an integer number (1828008).

Almost surely, 2^205889040 is an apocalyptic number.

205889040 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 205889040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

205889040 is an abundant number, since it is smaller than the sum of its proper divisors (671554800).

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

205889040 is a wasteful number, since it uses less digits than its factorization.

205889040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 205889040 is about 14348.8340989782. The cubic root of 205889040 is about 590.4879999703.

The spelling of 205889040 in words is "two hundred five million, eight hundred eighty-nine thousand, forty".