205013688 has 96 divisors (see below), whose sum is σ = 567665280. Its totient is φ = 61652800.

The previous prime is 205013681. The next prime is 205013689. The reversal of 205013688 is 886310502.

It is a happy number.

It is a super-2 number, since 2×205013688² = 84061224534722688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205013681) 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 23 ways as a sum of consecutive naturals, for example, 659053 + ... + 659363.

It is an arithmetic number, because the mean of its divisors is an integer number (5913180).

Almost surely, 2^205013688 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 205013688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283832640).

205013688 is an abundant number, since it is smaller than the sum of its proper divisors (362651592).

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

205013688 is a wasteful number, since it uses less digits than its factorization.

205013688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 205013688 is about 14318.2990609918. The cubic root of 205013688 is about 589.6499771997.

The spelling of 205013688 in words is "two hundred five million, thirteen thousand, six hundred eighty-eight".