8613264 has 60 divisors (see below), whose sum is σ = 24474128. Its totient is φ = 2608320.

The previous prime is 8613229. The next prime is 8613281. The reversal of 8613264 is 4623168.

8613264 is nontrivially palindromic in base 5.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5067 + ... + 6549.

Almost surely, 2^8613264 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 8613264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12237064).

8613264 is an abundant number, since it is smaller than the sum of its proper divisors (15860864).

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

8613264 is a wasteful number, since it uses less digits than its factorization.

8613264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1499 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 8613264 is about 2934.8362816348. The cubic root of 8613264 is about 204.9852378821.

The spelling of 8613264 in words is "eight million, six hundred thirteen thousand, two hundred sixty-four".