8338560 has 128 divisors (see below), whose sum is σ = 27466560. Its totient is φ = 2150400.

The previous prime is 8338559. The next prime is 8338601. The reversal of 8338560 is 658338.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82510 + ... + 82610.

Almost surely, 2^8338560 is an apocalyptic number.

8338560 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 8338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13733280).

8338560 is an abundant number, since it is smaller than the sum of its proper divisors (19128000).

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

8338560 is a wasteful number, since it uses less digits than its factorization.

8338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 8338560 is about 2887.6564892660. The cubic root of 8338560 is about 202.7824438506.

The spelling of 8338560 in words is "eight million, three hundred thirty-eight thousand, five hundred sixty".