4656564 has 54 divisors (see below), whose sum is σ = 12950210. Its totient is φ = 1409760.

The previous prime is 4656563. The next prime is 4656581.

It is a happy number.

4656564 is a `hidden beast` number, since 46 + 56 + 564 = 666.

4656564 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 3920400 + 736164 = 1980^2 + 858^2 .

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 (4656563) 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 17 ways as a sum of consecutive naturals, for example, 3822 + ... + 4890.

Almost surely, 2^4656564 is an apocalyptic number.

4656564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4656564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6475105).

4656564 is an abundant number, since it is smaller than the sum of its proper divisors (8293646).

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

4656564 is a wasteful number, since it uses less digits than its factorization.

4656564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1085 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 4656564 is about 2157.9073196039. The cubic root of 4656564 is about 166.9892543315.

The spelling of 4656564 in words is "four million, six hundred fifty-six thousand, five hundred sixty-four".