12006540 has 144 divisors (see below), whose sum is σ = 44885568. Its totient is φ = 2529792.

The previous prime is 12006523. The next prime is 12006541. The reversal of 12006540 is 4560021.

It is a happy number.

12006540 is a `hidden beast` number, since 12 + 0 + 0 + 654 + 0 = 666.

12006540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12006541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16014 + ... + 16746.

Almost surely, 2^12006540 is an apocalyptic number.

12006540 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 12006540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22442784).

12006540 is an abundant number, since it is smaller than the sum of its proper divisors (32879028).

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

12006540 is a wasteful number, since it uses less digits than its factorization.

12006540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12006540 is about 3465.0454542473. The cubic root of 12006540 is about 228.9844322413.

Adding to 12006540 its reverse (4560021), we get a palindrome (16566561).

The spelling of 12006540 in words is "twelve million, six thousand, five hundred forty".