8608320 has 252 divisors, whose sum is σ = 35007804. Its totient is φ = 1935360.

The previous prime is 8608291. The next prime is 8608321. The reversal of 8608320 is 238068.

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 7225344 = 1176^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (8608321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141090 + ... + 141150.

Almost surely, 2^8608320 is an apocalyptic number.

8608320 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 8608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17503902).

8608320 is an abundant number, since it is smaller than the sum of its proper divisors (26399484).

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

8608320 is a wasteful number, since it uses less digits than its factorization.

8608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8608320 is about 2933.9938650243. The cubic root of 8608320 is about 204.9460099741.

It can be divided in two parts, 860 and 8320, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 8608320 in words is "eight million, six hundred eight thousand, three hundred twenty".