6417864 has 24 divisors (see below), whose sum is σ = 17381910. Its totient is φ = 2139264.

The previous prime is 6417847. The next prime is 6417869. The reversal of 6417864 is 4687146.

6417864 is a `hidden beast` number, since 641 + 7 + 8 + 6 + 4 = 666.

6417864 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4040100 + 2377764 = 2010^2 + 1542^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6417869) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44497 + ... + 44640.

Almost surely, 2^6417864 is an apocalyptic number.

It is an amenable number.

6417864 is an abundant number, since it is smaller than the sum of its proper divisors (10964046).

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

6417864 is a wasteful number, since it uses less digits than its factorization.

6417864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89149 (or 89142 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 6417864 is about 2533.3503508200. The cubic root of 6417864 is about 185.8361373334.

The spelling of 6417864 in words is "six million, four hundred seventeen thousand, eight hundred sixty-four".