6464016 has 80 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 1987200.

The previous prime is 6463999. The next prime is 6464021. The reversal of 6464016 is 6104646.

6464016 is a `hidden beast` number, since 6 + 4 + 640 + 16 = 666.

It is a super-4 number, since 4×6464016⁴ (a number of 28 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 5041 + ... + 6191.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^6464016 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 6464016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999360).

6464016 is an abundant number, since it is smaller than the sum of its proper divisors (13534704).

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

6464016 is a wasteful number, since it uses less digits than its factorization.

6464016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1169 counting only the distinct ones).

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

The square root of 6464016 is about 2542.4429197132. The cubic root of 6464016 is about 186.2805340087.

The spelling of 6464016 in words is "six million, four hundred sixty-four thousand, sixteen".