4206564 has 18 divisors (see below), whose sum is σ = 10633350. Its totient is φ = 1402176.

The previous prime is 4206551. The next prime is 4206569. The reversal of 4206564 is 4656024.

It is a happy number.

4206564 is a `hidden beast` number, since 4 + 2 + 0 + 656 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4040100 + 166464 = 2010^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4206569) 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, 58389 + ... + 58460.

Almost surely, 2^4206564 is an apocalyptic number.

It is an amenable number.

4206564 is an abundant number, since it is smaller than the sum of its proper divisors (6426786).

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

4206564 is a wasteful number, since it uses less digits than its factorization.

4206564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116859 (or 116854 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4206564 is about 2050.9909799899. The cubic root of 4206564 is about 161.4268728028.

The spelling of 4206564 in words is "four million, two hundred six thousand, five hundred sixty-four".