6414912 has 168 divisors, whose sum is σ = 22083776. Its totient is φ = 1741824.

The previous prime is 6414883. The next prime is 6414917. The reversal of 6414912 is 2194146.

6414912 is a `hidden beast` number, since 641 + 4 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6414917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149163 + ... + 149205.

Almost surely, 2^6414912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11041888).

6414912 is an abundant number, since it is smaller than the sum of its proper divisors (15668864).

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

6414912 is a wasteful number, since it uses less digits than its factorization.

6414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 92 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 6414912 is about 2532.7676561422. The cubic root of 6414912 is about 185.8076401880.

The spelling of 6414912 in words is "six million, four hundred fourteen thousand, nine hundred twelve".