8107264 has 36 divisors (see below), whose sum is σ = 17660160. Its totient is φ = 3683840.

The previous prime is 8107261. The next prime is 8107271. The reversal of 8107264 is 4627018.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8107261) 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 3 ways as a sum of consecutive naturals, for example, 1377 + ... + 4255.

It is an arithmetic number, because the mean of its divisors is an integer number (490560).

Almost surely, 2^8107264 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 8107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830080).

8107264 is an abundant number, since it is smaller than the sum of its proper divisors (9552896).

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

8107264 is a wasteful number, since it uses less digits than its factorization.

8107264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 8107264 is about 2847.3257628870. The cubic root of 8107264 is about 200.8899011734.

The spelling of 8107264 in words is "eight million, one hundred seven thousand, two hundred sixty-four".