13680225 has 48 divisors (see below), whose sum is σ = 27081600. Its totient is φ = 6730560.

The previous prime is 13680221. The next prime is 13680259. The reversal of 13680225 is 52208631.

13680225 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13680225 - 2² = 13680221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13680221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7996 + ... + 9554.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 2^13680225 is an apocalyptic number.

13680225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13680225 is a deficient number, since it is larger than the sum of its proper divisors (13401375).

13680225 is a wasteful number, since it uses less digits than its factorization.

13680225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13680225 is about 3698.6788181728. The cubic root of 13680225 is about 239.1650674837.

Adding to 13680225 its reverse (52208631), we get a palindrome (65888856).

The spelling of 13680225 in words is "thirteen million, six hundred eighty thousand, two hundred twenty-five".