564120 has 48 divisors (see below), whose sum is σ = 1834560. Its totient is φ = 150336.

The previous prime is 564103. The next prime is 564127. The reversal of 564120 is 21465.

It is a happy number.

564120 is a `hidden beast` number, since 5 + 641 + 20 = 666.

564120 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 564093 and 564102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 424 + ... + 1143.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2⁵⁶⁴¹²⁰ is an apocalyptic number.

It is an amenable number.

564120 is an abundant number, since it is smaller than the sum of its proper divisors (1270440).

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

564120 is a wasteful number, since it uses less digits than its factorization.

564120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 564120 is about 751.0792235177. The cubic root of 564120 is about 82.6273515214.

Adding to 564120 its reverse (21465), we get a palindrome (585585).

The spelling of 564120 in words is "five hundred sixty-four thousand, one hundred twenty".