12603680 has 48 divisors (see below), whose sum is σ = 30595320. Its totient is φ = 4902912.

The previous prime is 12603673. The next prime is 12603697. The reversal of 12603680 is 8630621.

It can be written as a sum of positive squares in 4 ways, for example, as 10995856 + 1607824 = 3316^2 + 1268^2 .

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, 4856 + ... + 6984.

Almost surely, 2^12603680 is an apocalyptic number.

12603680 is a gapful number since it is divisible by the number (10) 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 12603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15297660).

12603680 is an abundant number, since it is smaller than the sum of its proper divisors (17991640).

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

12603680 is a wasteful number, since it uses less digits than its factorization.

12603680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 12603680 is about 3550.1661932929. The cubic root of 12603680 is about 232.7193290080.

The spelling of 12603680 in words is "twelve million, six hundred three thousand, six hundred eighty".