12083580 has 60 divisors (see below), whose sum is σ = 37911720. Its totient is φ = 3221856.

The previous prime is 12083573. The next prime is 12083587. The reversal of 12083580 is 8538021.

It is a happy number.

12083580 is a `hidden beast` number, since 1 + 2 + 0 + 83 + 580 = 666.

12083580 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 (12083573) and next prime (12083587).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12083587) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2110 + ... + 5349.

It is an arithmetic number, because the mean of its divisors is an integer number (631862).

Almost surely, 2^12083580 is an apocalyptic number.

12083580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12083580 is an abundant number, since it is smaller than the sum of its proper divisors (25828140).

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

12083580 is a wasteful number, since it uses less digits than its factorization.

12083580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7480 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12083580 is about 3476.1444158723. The cubic root of 12083580 is about 229.4731482105.

The spelling of 12083580 in words is "twelve million, eighty-three thousand, five hundred eighty".