12523680 has 192 divisors, whose sum is σ = 47416320. Its totient is φ = 3068928.

The previous prime is 12523669. The next prime is 12523681. The reversal of 12523680 is 8632521.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12523681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56049 + ... + 56271.

It is an arithmetic number, because the mean of its divisors is an integer number (246960).

Almost surely, 2^12523680 is an apocalyptic number.

12523680 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 12523680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23708160).

12523680 is an abundant number, since it is smaller than the sum of its proper divisors (34892640).

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

12523680 is a wasteful number, since it uses less digits than its factorization.

12523680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

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

The square root of 12523680 is about 3538.8811791299. The cubic root of 12523680 is about 232.2258996676.

It can be divided in two parts, 125236 and 80, that added together give a square (125316 = 354²).

The spelling of 12523680 in words is "twelve million, five hundred twenty-three thousand, six hundred eighty".