12906432 has 224 divisors, whose sum is σ = 47792640. Its totient is φ = 3317760.

The previous prime is 12906419. The next prime is 12906433. The reversal of 12906432 is 23460921.

12906432 is a `hidden beast` number, since 12 + 9 + 0 + 643 + 2 = 666.

12906432 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 (224).

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 = 12906396 and 12906405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12906433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133008 + ... + 133104.

It is an arithmetic number, because the mean of its divisors is an integer number (213360).

Almost surely, 2^12906432 is an apocalyptic number.

12906432 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 12906432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23896320).

12906432 is an abundant number, since it is smaller than the sum of its proper divisors (34886208).

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

12906432 is a wasteful number, since it uses less digits than its factorization.

12906432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12906432 is about 3592.5522960703. The cubic root of 12906432 is about 234.5679824961.

The spelling of 12906432 in words is "twelve million, nine hundred six thousand, four hundred thirty-two".