12627552 has 192 divisors, whose sum is σ = 42577920. Its totient is φ = 3193344.

The previous prime is 12627547. The next prime is 12627553. The reversal of 12627552 is 25572621.

Its product of digits (8400) is a multiple of the sum of its prime factors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12627553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293643 + ... + 293685.

It is an arithmetic number, because the mean of its divisors is an integer number (221760).

Almost surely, 2^12627552 is an apocalyptic number.

12627552 is a gapful number since it is divisible by the number (12) 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 12627552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288960).

12627552 is an abundant number, since it is smaller than the sum of its proper divisors (29950368).

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

12627552 is a wasteful number, since it uses less digits than its factorization.

12627552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 97 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 12627552 is about 3553.5266989288. The cubic root of 12627552 is about 232.8661636906.

The spelling of 12627552 in words is "twelve million, six hundred twenty-seven thousand, five hundred fifty-two".