8271264 has 48 divisors (see below), whose sum is σ = 22468320. Its totient is φ = 2661120.

The previous prime is 8271259. The next prime is 8271271. The reversal of 8271264 is 4621728.

8271264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1299 + ... + 4269.

It is an arithmetic number, because the mean of its divisors is an integer number (468090).

Almost surely, 2^8271264 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 8271264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11234160).

8271264 is an abundant number, since it is smaller than the sum of its proper divisors (14197056).

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

8271264 is a wasteful number, since it uses less digits than its factorization.

8271264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 3005 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 8271264 is about 2875.9805284459. The cubic root of 8271264 is about 202.2354539683.

The spelling of 8271264 in words is "eight million, two hundred seventy-one thousand, two hundred sixty-four".