205511064 has 64 divisors (see below), whose sum is σ = 562256640. Its totient is φ = 62079360.

The previous prime is 205511041. The next prime is 205511069. The reversal of 205511064 is 460115502.

205511064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205511069) 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, 97429 + ... + 99515.

It is an arithmetic number, because the mean of its divisors is an integer number (8785260).

Almost surely, 2^205511064 is an apocalyptic number.

205511064 is a gapful number since it is divisible by the number (24) 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 205511064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281128320).

205511064 is an abundant number, since it is smaller than the sum of its proper divisors (356745576).

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

205511064 is a wasteful number, since it uses less digits than its factorization.

205511064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 205511064 is about 14335.6570829523. The cubic root of 205511064 is about 590.1264346483.

Adding to 205511064 its reverse (460115502), we get a palindrome (665626566).

The spelling of 205511064 in words is "two hundred five million, five hundred eleven thousand, sixty-four".