12085632 has 128 divisors (see below), whose sum is σ = 38556000. Its totient is φ = 3704832.

The previous prime is 12085631. The next prime is 12085673. The reversal of 12085632 is 23658021.

12085632 is a `hidden beast` number, since 1 + 20 + 8 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 12085596 and 12085605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12085631) 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, 44794 + ... + 45062.

Almost surely, 2^12085632 is an apocalyptic number.

12085632 is a gapful number since it is divisible by the number (12) 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 12085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19278000).

12085632 is an abundant number, since it is smaller than the sum of its proper divisors (26470368).

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

12085632 is a wasteful number, since it uses less digits than its factorization.

12085632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12085632 is about 3476.4395579386. The cubic root of 12085632 is about 229.4861369729.

The spelling of 12085632 in words is "twelve million, eighty-five thousand, six hundred thirty-two".