4620564 has 60 divisors (see below), whose sum is σ = 13020084. Its totient is φ = 1420416.

The previous prime is 4620563. The next prime is 4620569. The reversal of 4620564 is 4650264.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 980100 + 3640464 = 990^2 + 1908^2 .

It is a super-2 number, since 2×4620564² = 42699223356192, which contains 22 as substring.

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

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4620563) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3664 + ... + 4760.

Almost surely, 2^4620564 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 4620564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6510042).

4620564 is an abundant number, since it is smaller than the sum of its proper divisors (8399520).

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

4620564 is a wasteful number, since it uses less digits than its factorization.

4620564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

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

The square root of 4620564 is about 2149.5497202903. The cubic root of 4620564 is about 166.5578080254.

It can be divided in two parts, 4620 and 564, that added together give a square (5184 = 72²).

The spelling of 4620564 in words is "four million, six hundred twenty thousand, five hundred sixty-four".