12805632 has 120 divisors (see below), whose sum is σ = 42344016. Its totient is φ = 3649536.

The previous prime is 12805627. The next prime is 12805673. The reversal of 12805632 is 23650821.

12805632 is a `hidden beast` number, since 1 + 28 + 0 + 5 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12805596 and 12805605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32058 + ... + 32454.

Almost surely, 2^12805632 is an apocalyptic number.

12805632 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 12805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21172008).

12805632 is an abundant number, since it is smaller than the sum of its proper divisors (29538384).

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

12805632 is an equidigital number, since it uses as much as digits as its factorization.

12805632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 409 counting only the distinct ones).

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

The square root of 12805632 is about 3578.4957733662. The cubic root of 12805632 is about 233.9557225011.

The spelling of 12805632 in words is "twelve million, eight hundred five thousand, six hundred thirty-two".