12612560 has 40 divisors (see below), whose sum is σ = 30123816. Its totient is φ = 4907520.

The previous prime is 12612559. The next prime is 12612571. The reversal of 12612560 is 6521621.

It can be written as a sum of positive squares in 4 ways, for example, as 7118224 + 5494336 = 2668^2 + 2344^2 .

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

It is a congruent number.

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, 830 + ... + 5090.

Almost surely, 2^12612560 is an apocalyptic number.

12612560 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 12612560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15061908).

12612560 is an abundant number, since it is smaller than the sum of its proper divisors (17511256).

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

12612560 is a wasteful number, since it uses less digits than its factorization.

12612560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 12612560 is about 3551.4166187593. The cubic root of 12612560 is about 232.7739707872.

The spelling of 12612560 in words is "twelve million, six hundred twelve thousand, five hundred sixty".