12645360 has 240 divisors, whose sum is σ = 52538304. Its totient is φ = 2654208.

The previous prime is 12645359. The next prime is 12645371. The reversal of 12645360 is 6354621.

12645360 is a `hidden beast` number, since 12 + 645 + 3 + 6 + 0 = 666.

12645360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65424 + ... + 65616.

It is a vampire number, since it can be written as 2316 ⋅ 5460 (with its own digits).

Almost surely, 2^12645360 is an apocalyptic number.

12645360 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 12645360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26269152).

12645360 is an abundant number, since it is smaller than the sum of its proper divisors (39892944).

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

12645360 is a wasteful number, since it uses less digits than its factorization.

12645360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 12645360 is about 3556.0314959235. The cubic root of 12645360 is about 232.9755787430.

Adding to 12645360 its reverse (6354621), we get a palindrome (18999981).

The spelling of 12645360 in words is "twelve million, six hundred forty-five thousand, three hundred sixty".