12526560 has 72 divisors (see below), whose sum is σ = 42751800. Its totient is φ = 3340032.

The previous prime is 12526537. The next prime is 12526561. The reversal of 12526560 is 6562521.

12526560 = T₃₁₃ + T₃₁₄ + ... + T₄₇₂.

12526560 is a `hidden beast` number, since 1 + 2 + 5 + 2 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12526561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2910 + ... + 5789.

It is an arithmetic number, because the mean of its divisors is an integer number (593775).

Almost surely, 2^12526560 is an apocalyptic number.

12526560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12526560 is an abundant number, since it is smaller than the sum of its proper divisors (30225240).

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

12526560 is a wasteful number, since it uses less digits than its factorization.

12526560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 12526560 is about 3539.2880640038. The cubic root of 12526560 is about 232.2436995297.

The spelling of 12526560 in words is "twelve million, five hundred twenty-six thousand, five hundred sixty".