12082640 has 40 divisors (see below), whose sum is σ = 28424520. Its totient is φ = 4775936.

The previous prime is 12082639. The next prime is 12082649. The reversal of 12082640 is 4628021.

12082640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2298256 + 9784384 = 1516^2 + 3128^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12082649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6272 + ... + 7968.

It is an arithmetic number, because the mean of its divisors is an integer number (710613).

Almost surely, 2^12082640 is an apocalyptic number.

12082640 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 12082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212260).

12082640 is an abundant number, since it is smaller than the sum of its proper divisors (16341880).

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

12082640 is a wasteful number, since it uses less digits than its factorization.

12082640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 12082640 is about 3476.0092059717. The cubic root of 12082640 is about 229.4671977015.

The spelling of 12082640 in words is "twelve million, eighty-two thousand, six hundred forty".