12087768 has 128 divisors (see below), whose sum is σ = 39075840. Its totient is φ = 3024000.

The previous prime is 12087767. The next prime is 12087769. The reversal of 12087768 is 86778021.

12087768 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12087767) and next prime (12087769).

It is a super-2 number, since 2×12087768² = 292228270443648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12087767) 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, 57183 + ... + 57393.

It is an arithmetic number, because the mean of its divisors is an integer number (305280).

Almost surely, 2^12087768 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 12087768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19537920).

12087768 is an abundant number, since it is smaller than the sum of its proper divisors (26988072).

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

12087768 is a wasteful number, since it uses less digits than its factorization.

12087768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 12087768 is about 3476.7467552297. The cubic root of 12087768 is about 229.4996558773.

The spelling of 12087768 in words is "twelve million, eighty-seven thousand, seven hundred sixty-eight".