12666528 has 144 divisors (see below), whose sum is σ = 42247296. Its totient is φ = 3525120.

The previous prime is 12666517. The next prime is 12666529. The reversal of 12666528 is 82566621.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 12666492 and 12666501.

It is not an unprimeable number, because it can be changed into a prime (12666529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122925 + ... + 123027.

It is an arithmetic number, because the mean of its divisors is an integer number (293384).

Almost surely, 2^12666528 is an apocalyptic number.

12666528 is a gapful number since it is divisible by the number (18) 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 12666528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123648).

12666528 is an abundant number, since it is smaller than the sum of its proper divisors (29580768).

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

12666528 is a wasteful number, since it uses less digits than its factorization.

12666528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 176 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 12666528 is about 3559.0066029722. The cubic root of 12666528 is about 233.1055046025.

The spelling of 12666528 in words is "twelve million, six hundred sixty-six thousand, five hundred twenty-eight".