268005221 has 16 divisors (see below), whose sum is σ = 310946688. Its totient is φ = 228288000.

The previous prime is 268005193. The next prime is 268005239. The reversal of 268005221 is 122500862.

It is a cyclic number.

It is not a de Polignac number, because 268005221 - 2¹⁴ = 267988837 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268005251) 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, 40496 + ... + 46646.

It is an arithmetic number, because the mean of its divisors is an integer number (19434168).

Almost surely, 2^268005221 is an apocalyptic number.

It is an amenable number.

268005221 is a deficient number, since it is larger than the sum of its proper divisors (42941467).

268005221 is a wasteful number, since it uses less digits than its factorization.

268005221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 268005221 is about 16370.8650046355. The cubic root of 268005221 is about 644.7347594387.

The spelling of 268005221 in words is "two hundred sixty-eight million, five thousand, two hundred twenty-one".