13260600 has 144 divisors (see below), whose sum is σ = 45700200. Its totient is φ = 3444480.

The previous prime is 13260551. The next prime is 13260601. The reversal of 13260600 is 606231.

It is a happy number.

13260600 is a `hidden beast` number, since 1 + 3 + 2 + 60 + 600 = 666.

13260600 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 a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13260601) 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, 95331 + ... + 95469.

Almost surely, 2^13260600 is an apocalyptic number.

13260600 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 13260600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22850100).

13260600 is an abundant number, since it is smaller than the sum of its proper divisors (32439600).

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

13260600 is a wasteful number, since it uses less digits than its factorization.

13260600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13260600 is about 3641.5106755301. The cubic root of 13260600 is about 236.6942593851.

Adding to 13260600 its reverse (606231), we get a palindrome (13866831).

The spelling of 13260600 in words is "thirteen million, two hundred sixty thousand, six hundred".