12553360 has 40 divisors (see below), whose sum is σ = 29982456. Its totient is φ = 4884480.

The previous prime is 12553313. The next prime is 12553379. The reversal of 12553360 is 6335521.

12553360 = T₂₇₂ + T₂₇₃ + ... + T₄₅₆.

It is a happy number.

12553360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7463824 + 5089536 = 2732^2 + 2256^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 840 + ... + 5080.

Almost surely, 2^12553360 is an apocalyptic number.

12553360 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 12553360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14991228).

12553360 is an abundant number, since it is smaller than the sum of its proper divisors (17429096).

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

12553360 is a wasteful number, since it uses less digits than its factorization.

12553360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4291 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 12553360 is about 3543.0721132938. The cubic root of 12553360 is about 232.4092064651.

Adding to 12553360 its reverse (6335521), we get a palindrome (18888881).

The spelling of 12553360 in words is "twelve million, five hundred fifty-three thousand, three hundred sixty".