8613280 has 96 divisors (see below), whose sum is σ = 22670928. Its totient is φ = 3072000.

The previous prime is 8613229. The next prime is 8613281. The reversal of 8613280 is 823168.

8613280 is nontrivially palindromic in base 9.

8613280 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 8 ways, for example, as 2202256 + 6411024 = 1484^2 + 2532^2 .

It is not an unprimeable number, because it can be changed into a prime (8613281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85230 + ... + 85330.

Almost surely, 2^8613280 is an apocalyptic number.

8613280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8613280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11335464).

8613280 is an abundant number, since it is smaller than the sum of its proper divisors (14057648).

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

8613280 is a wasteful number, since it uses less digits than its factorization.

8613280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 8613280 is about 2934.8390075096. The cubic root of 8613280 is about 204.9853648089.

It can be divided in two parts, 86 and 13280, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 8613280 in words is "eight million, six hundred thirteen thousand, two hundred eighty".