12610688 has 32 divisors (see below), whose sum is σ = 25446960. Its totient is φ = 6224128.

The previous prime is 12610681. The next prime is 12610721. The reversal of 12610688 is 88601621.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (12610681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10031 + ... + 11217.

Almost surely, 2^12610688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12610688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723480).

12610688 is an abundant number, since it is smaller than the sum of its proper divisors (12836272).

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

12610688 is an equidigital number, since it uses as much as digits as its factorization.

12610688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 12610688 is about 3551.1530521790. The cubic root of 12610688 is about 232.7624538434.

The spelling of 12610688 in words is "twelve million, six hundred ten thousand, six hundred eighty-eight".