564369120 has 240 divisors, whose sum is σ = 2276654688. Its totient is φ = 128977920.

The previous prime is 564369097. The next prime is 564369137. The reversal of 564369120 is 21963465.

It is a happy number.

564369120 is a `hidden beast` number, since 5 + 643 + 6 + 9 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87610 + ... + 93830.

Almost surely, 2^564369120 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 564369120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138327344).

564369120 is an abundant number, since it is smaller than the sum of its proper divisors (1712285568).

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

564369120 is a wasteful number, since it uses less digits than its factorization.

564369120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6255 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 564369120 is about 23756.4542808896. The cubic root of 564369120 is about 826.3951270256.

It can be divided in two parts, 56436 and 9120, that added together give a palindrome (65556).

The spelling of 564369120 in words is "five hundred sixty-four million, three hundred sixty-nine thousand, one hundred twenty".