12065760 has 360 divisors, whose sum is σ = 52141320. Its totient is φ = 2612736.

The previous prime is 12065759. The next prime is 12065773. The reversal of 12065760 is 6756021.

12065760 is a `hidden beast` number, since 1 + 2 + 0 + 657 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 635031 + ... + 635049.

It is an arithmetic number, because the mean of its divisors is an integer number (144837).

Almost surely, 2^12065760 is an apocalyptic number.

12065760 is a gapful number since it is divisible by the number (10) 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 12065760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26070660).

12065760 is an abundant number, since it is smaller than the sum of its proper divisors (40075560).

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

12065760 is a wasteful number, since it uses less digits than its factorization.

12065760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 12065760 is about 3473.5802855267. The cubic root of 12065760 is about 229.3602891817.

The spelling of 12065760 in words is "twelve million, sixty-five thousand, seven hundred sixty".