8268264 has 64 divisors (see below), whose sum is σ = 23256000. Its totient is φ = 2721600.

The previous prime is 8268263. The next prime is 8268283. The reversal of 8268264 is 4628628.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8268263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21627 + ... + 22005.

It is an arithmetic number, because the mean of its divisors is an integer number (363375).

Almost surely, 2^8268264 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 8268264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11628000).

8268264 is an abundant number, since it is smaller than the sum of its proper divisors (14987736).

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

8268264 is a wasteful number, since it uses less digits than its factorization.

8268264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 485 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 8268264 is about 2875.4589198944. The cubic root of 8268264 is about 202.2110006430.

The spelling of 8268264 in words is "eight million, two hundred sixty-eight thousand, two hundred sixty-four".