12552768 has 168 divisors, whose sum is σ = 40152320. Its totient is φ = 3732480.

The previous prime is 12552751. The next prime is 12552769. The reversal of 12552768 is 86725521.

It is a happy number.

12552768 is a `hidden beast` number, since 125 + 527 + 6 + 8 = 666.

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

Its product of digits (33600) is a multiple of the sum of its prime factors (105).

It is not an unprimeable number, because it can be changed into a prime (12552769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339246 + ... + 339282.

Almost surely, 2^12552768 is an apocalyptic number.

12552768 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 12552768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20076160).

12552768 is an abundant number, since it is smaller than the sum of its proper divisors (27599552).

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

12552768 is a wasteful number, since it uses less digits than its factorization.

12552768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 12552768 is about 3542.9885689909. The cubic root of 12552768 is about 232.4055530365.

The spelling of 12552768 in words is "twelve million, five hundred fifty-two thousand, seven hundred sixty-eight".