12106640 has 80 divisors (see below), whose sum is σ = 34664448. Its totient is φ = 3829248.

The previous prime is 12106639. The next prime is 12106649. The reversal of 12106640 is 4660121.

It is a happy number.

12106640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12106649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6449 + ... + 8111.

Almost surely, 2^12106640 is an apocalyptic number.

12106640 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 12106640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17332224).

12106640 is an abundant number, since it is smaller than the sum of its proper divisors (22557808).

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

12106640 is a wasteful number, since it uses less digits than its factorization.

12106640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1696 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 12106640 is about 3479.4597281762. The cubic root of 12106640 is about 229.6190290452.

Adding to 12106640 its reverse (4660121), we get a palindrome (16766761).

The spelling of 12106640 in words is "twelve million, one hundred six thousand, six hundred forty".