205326264 has 128 divisors (see below), whose sum is σ = 624153600. Its totient is φ = 55426560.

The previous prime is 205326263. The next prime is 205326269. The reversal of 205326264 is 462623502.

205326264 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205326263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98497 + ... + 100559.

It is an arithmetic number, because the mean of its divisors is an integer number (4876200).

Almost surely, 2^205326264 is an apocalyptic number.

205326264 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 205326264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312076800).

205326264 is an abundant number, since it is smaller than the sum of its proper divisors (418827336).

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

205326264 is a wasteful number, since it uses less digits than its factorization.

205326264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 205326264 is about 14329.2101666491. The cubic root of 205326264 is about 589.9494967783.

Adding to 205326264 its reverse (462623502), we get a palindrome (667949766).

It can be divided in two parts, 20532 and 6264, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 205326264 in words is "two hundred five million, three hundred twenty-six thousand, two hundred sixty-four".