205921268 has 24 divisors (see below), whose sum is σ = 412249152. Its totient is φ = 88164864.

The previous prime is 205921253. The next prime is 205921301. The reversal of 205921268 is 862129502.

It is a happy number.

205921268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205921268² = 84807137229455648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31055 + ... + 37097.

It is an arithmetic number, because the mean of its divisors is an integer number (17177048).

Almost surely, 2^205921268 is an apocalyptic number.

205921268 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

205921268 is an abundant number, since it is smaller than the sum of its proper divisors (206327884).

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

205921268 is a wasteful number, since it uses less digits than its factorization.

205921268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7271 (or 7269 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 205921268 is about 14349.9570731065. The cubic root of 205921268 is about 590.5188082387.

The spelling of 205921268 in words is "two hundred five million, nine hundred twenty-one thousand, two hundred sixty-eight".