12559680 has 252 divisors, whose sum is σ = 50817780. Its totient is φ = 2838528.

The previous prime is 12559637. The next prime is 12559691. The reversal of 12559680 is 8695521.

It is a happy number.

12559680 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 can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 9144576 = 1848^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 141076 + ... + 141164.

Almost surely, 2^12559680 is an apocalyptic number.

12559680 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 12559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25408890).

12559680 is an abundant number, since it is smaller than the sum of its proper divisors (38258100).

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

12559680 is a wasteful number, since it uses less digits than its factorization.

12559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 12559680 is about 3543.9638824345. The cubic root of 12559680 is about 232.4482021273.

The spelling of 12559680 in words is "twelve million, five hundred fifty-nine thousand, six hundred eighty".