8201268 has 36 divisors (see below), whose sum is σ = 20818980. Its totient is φ = 2722176.

The previous prime is 8201257. The next prime is 8201299. The reversal of 8201268 is 8621028.

It can be written as a sum of positive squares in 2 ways, for example, as 4112784 + 4088484 = 2028^2 + 2022^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14446 + ... + 15002.

It is an arithmetic number, because the mean of its divisors is an integer number (578305).

Almost surely, 2^8201268 is an apocalyptic number.

It is an amenable number.

8201268 is an abundant number, since it is smaller than the sum of its proper divisors (12617712).

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

8201268 is a wasteful number, since it uses less digits than its factorization.

8201268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8201268 is about 2863.7856065006. The cubic root of 8201268 is about 201.6633611309.

The spelling of 8201268 in words is "eight million, two hundred one thousand, two hundred sixty-eight".