8115264 has 84 divisors (see below), whose sum is σ = 23701756. Its totient is φ = 2654208.

The previous prime is 8115259. The next prime is 8115277. The reversal of 8115264 is 4625118.

It can be written as a sum of positive squares in 2 ways, for example, as 3240000 + 4875264 = 1800^2 + 2208^2 .

It is an Ulam number.

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, 41952 + ... + 42144.

Almost surely, 2^8115264 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 8115264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850878).

8115264 is an abundant number, since it is smaller than the sum of its proper divisors (15586492).

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

8115264 is a wasteful number, since it uses less digits than its factorization.

8115264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 8115264 is about 2848.7302434594. The cubic root of 8115264 is about 200.9559567864.

The spelling of 8115264 in words is "eight million, one hundred fifteen thousand, two hundred sixty-four".