6416801 has 8 divisors (see below), whose sum is σ = 6666600. Its totient is φ = 6168960.

The previous prime is 6416789. The next prime is 6416807. The reversal of 6416801 is 1086146.

It can be written as a sum of positive squares in 4 ways, for example, as 2027776 + 4389025 = 1424^2 + 2095^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6416801 - 2¹⁸ = 6154657 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6416807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11591 + ... + 12131.

It is an arithmetic number, because the mean of its divisors is an integer number (833325).

Almost surely, 2^6416801 is an apocalyptic number.

It is an amenable number.

6416801 is a deficient number, since it is larger than the sum of its proper divisors (249799).

6416801 is a wasteful number, since it uses less digits than its factorization.

6416801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 6416801 is about 2533.1405409096. The cubic root of 6416801 is about 185.8258766651.

The spelling of 6416801 in words is "six million, four hundred sixteen thousand, eight hundred one".