6406416 has 60 divisors (see below), whose sum is σ = 18990972. Its totient is φ = 2009088.

The previous prime is 6406381. The next prime is 6406427. The reversal of 6406416 is 6146046.

6406416 is a `hidden beast` number, since 640 + 6 + 4 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5760000 + 646416 = 2400^2 + 804^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6406416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1140 + ... + 3756.

Almost surely, 2^6406416 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 6406416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9495486).

6406416 is an abundant number, since it is smaller than the sum of its proper divisors (12584556).

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

6406416 is a wasteful number, since it uses less digits than its factorization.

6406416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6406416 is about 2531.0898838248. The cubic root of 6406416 is about 185.7255751942.

It can be divided in two parts, 640 and 6416, that added together give a square (7056 = 84²).

The spelling of 6406416 in words is "six million, four hundred six thousand, four hundred sixteen".