6416000 has 64 divisors (see below), whose sum is σ = 15991560. Its totient is φ = 2560000.

The previous prime is 6415999. The next prime is 6416071. The reversal of 6416000 is 6146.

It can be written as a sum of positive squares in 4 ways, for example, as 4032064 + 2383936 = 2008^2 + 1544^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 6416000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15800 + ... + 16200.

Almost surely, 2^6416000 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 6416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995780).

6416000 is an abundant number, since it is smaller than the sum of its proper divisors (9575560).

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

6416000 is an equidigital number, since it uses as much as digits as its factorization.

6416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 6416000 is about 2532.9824318380. The cubic root of 6416000 is about 185.8181442181.

The spelling of 6416000 in words is "six million, four hundred sixteen thousand".